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100221102201012 = 223131973261131791
BaseRepresentation
bin10110110010011010001011…
…001100100001100010110100
3111010212001011221010002120120
4112302122023030201202310
5101114010304130413022
6553052534434131540
730052510224634212
oct2662321314414264
9433761157102516
10100221102201012
1129a2a592485321
12b2a7630420bb0
1343bca6a2b14a0
141aa6a2772bcb2
15b8beaa62cd5c
hex5b268b3218b4

100221102201012 has 48 divisors (see below), whose sum is σ = 253116005167872. Its totient is φ = 30680727880320.

The previous prime is 100221102201007. The next prime is 100221102201023. The reversal of 100221102201012 is 210102201122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221102200982 and 100221102201000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630535164 + ... + 1630596627.

It is an arithmetic number, because the mean of its divisors is an integer number (5273250107664).

Almost surely, 2100221102201012 is an apocalyptic number.

100221102201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221102201012 is an abundant number, since it is smaller than the sum of its proper divisors (152894902966860).

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

100221102201012 is a wasteful number, since it uses less digits than its factorization.

100221102201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261132008 (or 3261132006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221102201012 its reverse (210102201122001), we get a palindrome (310323303323013).

The spelling of 100221102201012 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 2364 2561 5122 7683 10244 15366 30732 3261131791 6522263582 9783395373 13044527164 19566790746 39133581492 42394713283 84789426566 127184139849 169578853132 254368279698 508736559396 642442962827 1284885925654 1927328888481 2569771851308 3854657776962 7709315553924 8351758516751 16703517033502 25055275550253 33407034067004 50110551100506 100221102201012