100210112100100 has 72 divisors (see below), whose sum is σ = 225455439069000. Its totient is φ = 38615640268800.

The previous prime is 100210112099987. The next prime is 100210112100121. The reversal of 100210112100100 is 1001211012001.

100210112100100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10828101009664 + 89382011090436 = 3290608^2 + 9454206^2 .

It is a super-2 number, since 2×100210112100100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37178091 + ... + 39782290.

It is an arithmetic number, because the mean of its divisors is an integer number (3131325542625).

Almost surely, 2^{100210112100100} is an apocalyptic number.

100210112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210112100100 is an abundant number, since it is smaller than the sum of its proper divisors (125245326968900).

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

100210112100100 is a wasteful number, since it uses less digits than its factorization.

100210112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76960873 (or 76960866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210112100100 its reverse (1001211012001), we get a palindrome (101211323112101).

The spelling of 100210112100100 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, one hundred thousand, one hundred".