10122120000100 has 72 divisors (see below), whose sum is σ = 23125099760000. Its totient is φ = 3835079395200.

The previous prime is 10122120000067. The next prime is 10122120000101. The reversal of 10122120000100 is 100002122101.

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

It is not an unprimeable number, because it can be changed into a prime (10122120000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10459765 + ... + 11386435.

Almost surely, 2^{10122120000100} is an apocalyptic number.

10122120000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122120000100 is an abundant number, since it is smaller than the sum of its proper divisors (13002979759900).

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

10122120000100 is a wasteful number, since it uses less digits than its factorization.

10122120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932453 (or 932446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122120000100 its reverse (100002122101), we get a palindrome (10222122122201).

The spelling of 10122120000100 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred", and thus it is an aban number.