10212220122100 has 36 divisors (see below), whose sum is σ = 22171982397964. Its totient is φ = 4082774734080.

The previous prime is 10212220122089. The next prime is 10212220122101. The reversal of 10212220122100 is 122102221201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38123343504 + 10174096778596 = 195252^2 + 3189686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212220122101) 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 11 ways as a sum of consecutive naturals, for example, 26222169 + ... + 26608768.

Almost surely, 2^{10212220122100} is an apocalyptic number.

10212220122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212220122100 is an abundant number, since it is smaller than the sum of its proper divisors (11959762275864).

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

10212220122100 is a wasteful number, since it uses less digits than its factorization.

10212220122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52832884 (or 52832877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212220122100 its reverse (122102221201), we get a palindrome (10334322343301).

The spelling of 10212220122100 in words is "ten trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".