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101001200202012 = 2231140112891480319
BaseRepresentation
bin10110111101110000101100…
…101010001111000100011100
3111020121121202022010112102010
4112331300230222033010130
5101214300424222431022
6554451151045431220
730163044616350435
oct2675605452170434
9436547668115363
10101001200202012
112a200406466660
12b3b286170b510
1344484abc76b96
141ad26ac7dc48c
15ba24165b150c
hex5bdc2ca8f11c

101001200202012 has 96 divisors (see below), whose sum is σ = 257935220121600. Its totient is φ = 30506393344000.

The previous prime is 101001200201999. The next prime is 101001200202041. The reversal of 101001200202012 is 210202002100101.

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

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, 67489189 + ... + 68969507.

It is an arithmetic number, because the mean of its divisors is an integer number (2686825209600).

Almost surely, 2101001200202012 is an apocalyptic number.

101001200202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001200202012 is an abundant number, since it is smaller than the sum of its proper divisors (156934019919588).

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

101001200202012 is a wasteful number, since it uses less digits than its factorization.

101001200202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482027 (or 1482025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101001200202012 its reverse (210202002100101), we get a palindrome (311203202302113).

The spelling of 101001200202012 in words is "one hundred one trillion, one billion, two hundred million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 401 802 1203 1289 1604 2406 2578 3867 4411 4812 5156 7734 8822 13233 14179 15468 17644 26466 28358 42537 52932 56716 85074 170148 516889 1033778 1480319 1550667 2067556 2960638 3101334 4440957 5685779 5921276 6202668 8881914 11371558 16283509 17057337 17763828 22743116 32567018 34114674 48850527 65134036 68229348 97701054 195402108 593607919 1187215838 1780823757 1908131191 2374431676 3561647514 3816262382 5724393573 6529687109 7123295028 7632524764 11448787146 13059374218 19589061327 20989443101 22897574292 26118748436 39178122654 41978886202 62968329303 78356245308 83957772404 125936658606 251873317212 765160607591 1530321215182 2295481822773 3060642430364 4590963645546 8416766683501 9181927291092 16833533367002 25250300050503 33667066734004 50500600101006 101001200202012