10221022012100 has 36 divisors (see below), whose sum is σ = 22944432178500. Its totient is φ = 3947429189760.

The previous prime is 10221022012073. The next prime is 10221022012109. The reversal of 10221022012100 is 121022012201.

It can be written as a sum of positive squares in 6 ways, for example, as 34405056196 + 10186616955904 = 185486^2 + 3191648^2 .

It is not an unprimeable number, because it can be changed into a prime (10221022012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762242275 + ... + 1762248074.

Almost surely, 2^{10221022012100} is an apocalyptic number.

10221022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221022012100 is an abundant number, since it is smaller than the sum of its proper divisors (12723410166400).

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

10221022012100 is a wasteful number, since it uses less digits than its factorization.

10221022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524490392 (or 3524490385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221022012100 its reverse (121022012201), we get a palindrome (10342044024301).

The spelling of 10221022012100 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, twelve thousand, one hundred".