10120200112100 has 54 divisors (see below), whose sum is σ = 23780074989510. Its totient is φ = 3736689265920.

The previous prime is 10120200112079. The next prime is 10120200112103. The reversal of 10120200112100 is 121100202101.

It can be written as a sum of positive squares in 9 ways, for example, as 6806140064164 + 3314060047936 = 2608858^2 + 1820456^2 .

It is not an unprimeable number, because it can be changed into a prime (10120200112103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 299397305 + ... + 299431104.

It is an arithmetic number, because the mean of its divisors is an integer number (440371759065).

Almost surely, 2^{10120200112100} is an apocalyptic number.

10120200112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120200112100 is an abundant number, since it is smaller than the sum of its proper divisors (13659874877410).

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

10120200112100 is a wasteful number, since it uses less digits than its factorization.

10120200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598828449 (or 598828429 counting only the distinct ones).

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

Adding to 10120200112100 its reverse (121100202101), we get a palindrome (10241300314201).

Subtracting from 10120200112100 its reverse (121100202101), we obtain a palindrome (9999099909999).

The spelling of 10120200112100 in words is "ten trillion, one hundred twenty billion, two hundred million, one hundred twelve thousand, one hundred".