20101221122120 has 32 divisors (see below), whose sum is σ = 45642680998200. Its totient is φ = 7966722498048.

The previous prime is 20101221122063. The next prime is 20101221122161. The reversal of 20101221122120 is 2122112210102.

It can be written as a sum of positive squares in 4 ways, for example, as 13716371487844 + 6384849634276 = 3703562^2 + 2526826^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2305181549 + ... + 2305190268.

Almost surely, 2^{20101221122120} is an apocalyptic number.

20101221122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221122120 is an abundant number, since it is smaller than the sum of its proper divisors (25541459876080).

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

20101221122120 is a wasteful number, since it uses less digits than its factorization.

20101221122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610371937 (or 4610371933 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20101221122120 its reverse (2122112210102), we get a palindrome (22223333332222).

The spelling of 20101221122120 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".