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10121012100 = 2233523748523
BaseRepresentation
bin10010110110100001…
…00110001110000100
3222010100110200112000
421123100212032010
5131211434341400
64352144225300
7505544116623
oct113320461604
928110420460
1010121012100
114324058211
121b6560b230
13c53aa9c74
146c02636ba
153e3813600
hex25b426384

10121012100 has 72 divisors (see below), whose sum is σ = 32537188320. Its totient is φ = 2698935840.

The previous prime is 10121012071. The next prime is 10121012113. The reversal of 10121012100 is 121012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1871562 + ... + 1876961.

Almost surely, 210121012100 is an apocalyptic number.

10121012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012100 is an abundant number, since it is smaller than the sum of its proper divisors (22416176220).

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

10121012100 is a wasteful number, since it uses less digits than its factorization.

10121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748546 (or 3748533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121012100 its reverse (121012101), we get a palindrome (10242024201).

Subtracting from 10121012100 its reverse (121012101), we obtain a palindrome (9999999999).

The spelling of 10121012100 in words is "ten billion, one hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3748523 7497046 11245569 14994092 18742615 22491138 33736707 37485230 44982276 56227845 67473414 74970460 93713075 101210121 112455690 134946828 168683535 187426150 202420242 224911380 281139225 337367070 374852300 404840484 506050605 562278450 674734140 843417675 1012101210 1124556900 1686835350 2024202420 2530253025 3373670700 5060506050 10121012100