10122000112100 has 72 divisors (see below), whose sum is σ = 23279566215528. Its totient is φ = 3806902425600.

The previous prime is 10122000112099. The next prime is 10122000112121. The reversal of 10122000112100 is 121100022101.

It can be written as a sum of positive squares in 12 ways, for example, as 3984806455204 + 6137193656896 = 1996198^2 + 2477336^2 .

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, 1180127 + ... + 4651526.

It is an arithmetic number, because the mean of its divisors is an integer number (323327308549).

Almost surely, 2^{10122000112100} is an apocalyptic number.

10122000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122000112100 is an abundant number, since it is smaller than the sum of its proper divisors (13157566103428).

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

10122000112100 is a wasteful number, since it uses less digits than its factorization.

10122000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832705 (or 5832698 counting only the distinct ones).

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

Adding to 10122000112100 its reverse (121100022101), we get a palindrome (10243100134201).

It can be divided in two parts, 101220001 and 12100, that added together give a palindrome (101232101).

The spelling of 10122000112100 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve thousand, one hundred".