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100212021100100 = 225271311012310011
BaseRepresentation
bin10110110010010001101101…
…111010110111111001000100
3111010211011202001102101000202
4112302101231322313321010
5101113333204400200400
6553044433354430032
730052036205563310
oct2662215572677104
9433734661371022
10100212021100100
1129a26752430848
12b2a5917132318
1343bbc50aa69b0
141aa6405644b40
15b8bb282814d5
hex5b246deb7e44

100212021100100 has 72 divisors (see below), whose sum is σ = 267643182531648. Its totient is φ = 31715452828800.

The previous prime is 100212021100099. The next prime is 100212021100189. The reversal of 100212021100100 is 1001120212001.

It is a super-2 number, since 2×1002120211001002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506145906 + ... + 5506164105.

Almost surely, 2100212021100100 is an apocalyptic number.

100212021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212021100100 is an abundant number, since it is smaller than the sum of its proper divisors (167431161431548).

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

100212021100100 is a wasteful number, since it uses less digits than its factorization.

100212021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012310045 (or 11012310038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212021100100 its reverse (1001120212001), we get a palindrome (101213141312101).

The spelling of 100212021100100 in words is "one hundred trillion, two hundred twelve billion, twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11012310011 22024620022 44049240044 55061550055 77086170077 110123100110 143160030143 154172340154 220246200220 275307750275 286320060286 308344680308 385430850385 550615500550 572640120572 715800150715 770861700770 1002120211001 1101231001100 1431600301430 1541723401540 1927154251925 2004240422002 2863200602860 3579000753575 3854308503850 4008480844004 5010601055005 7158001507150 7708617007700 10021202110010 14316003014300 20042404220020 25053005275025 50106010550050 100212021100100