21202102120100 has 72 divisors (see below), whose sum is σ = 50209844364288. Its totient is φ = 7706984924800.

The previous prime is 21202102120099. The next prime is 21202102120117. The reversal of 21202102120100 is 102120120212.

It is a super-2 number, since 2×21202102120100² (a number of 27 digits) contains 22 as substring.

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, 630947 + ... + 6542346.

It is an arithmetic number, because the mean of its divisors is an integer number (697358949504).

Almost surely, 2^{21202102120100} is an apocalyptic number.

21202102120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202102120100 is an abundant number, since it is smaller than the sum of its proper divisors (29007742244188).

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

21202102120100 is a wasteful number, since it uses less digits than its factorization.

21202102120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176005 (or 7175998 counting only the distinct ones).

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

Adding to 21202102120100 its reverse (102120120212), we get a palindrome (21304222240312).

The spelling of 21202102120100 in words is "twenty-one trillion, two hundred two billion, one hundred two million, one hundred twenty thousand, one hundred".