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101202101010012 = 2231924111231640053
BaseRepresentation
bin10111000000101011110011…
…010001111111111001011100
3111021022211022102110000011210
4113000223303101333321130
5101231043400324310022
6555123334155144420
730213416256140022
oct2700536321777134
9437284272400153
10101202101010012
112a27862a761182
12b42578aa45110
134461417ab3432
141adc2ca3aa712
15ba7773b71a0c
hex5c0af347fe5c

101202101010012 has 96 divisors (see below), whose sum is σ = 249820372721920. Its totient is φ = 31797590584320.

The previous prime is 101202101010007. The next prime is 101202101010053. The reversal of 101202101010012 is 210010101202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101202101010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60886578 + ... + 62526630.

Almost surely, 2101202101010012 is an apocalyptic number.

101202101010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202101010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124910186360960).

101202101010012 is an abundant number, since it is smaller than the sum of its proper divisors (148618271711908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202101010012 is a wasteful number, since it uses less digits than its factorization.

101202101010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641443 (or 1641441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101202101010012 its reverse (210010101202101), we get a palindrome (311212202212113).

The spelling of 101202101010012 in words is "one hundred one trillion, two hundred two billion, one hundred one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 241 482 723 964 1123 1446 2246 2892 3369 4492 4579 6738 9158 13476 13737 18316 21337 27474 42674 54948 64011 85348 128022 256044 270643 541286 811929 1082572 1623858 1640053 3247716 3280106 4920159 5142217 6560212 9840318 10284434 15426651 19680636 20568868 30853302 31161007 61706604 62322014 93483021 124644028 186966042 373932084 395252773 790505546 1185758319 1581011092 1841779519 2371516638 3683559038 4743033276 5525338557 7367118076 7509802687 11050677114 15019605374 22101354228 22529408061 30039210748 34993810861 45058816122 69987621722 90117632244 104981432583 139975243444 209962865166 419925730332 443868864079 887737728158 1331606592237 1775475456316 2663213184474 5326426368948 8433508417501 16867016835002 25300525252503 33734033670004 50601050505006 101202101010012