10221120000100 has 72 divisors (see below), whose sum is σ = 22652843875200. Its totient is φ = 4001265045120.

The previous prime is 10221120000097. The next prime is 10221120000101. The reversal of 10221120000100 is 100002112201.

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 (10221120000101) 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, 131170951 + ... + 131248849.

It is an arithmetic number, because the mean of its divisors is an integer number (314622831600).

Almost surely, 2^{10221120000100} is an apocalyptic number.

10221120000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221120000100 is an abundant number, since it is smaller than the sum of its proper divisors (12431723875100).

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

10221120000100 is a wasteful number, since it uses less digits than its factorization.

10221120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105877 (or 105870 counting only the distinct ones).

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

Adding to 10221120000100 its reverse (100002112201), we get a palindrome (10321122112301).

The spelling of 10221120000100 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, one hundred", and thus it is an aban number.