20101211221120 has 64 divisors (see below), whose sum is σ = 48349270952640. Its totient is φ = 7991156321280.

The previous prime is 20101211221111. The next prime is 20101211221139. The reversal of 20101211221120 is 2112211210102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20101211221094 and 20101211221103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96239676 + ... + 96448315.

It is an arithmetic number, because the mean of its divisors is an integer number (755457358635).

Almost surely, 2^{20101211221120} is an apocalyptic number.

20101211221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101211221120 is an abundant number, since it is smaller than the sum of its proper divisors (28248059731520).

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

20101211221120 is a wasteful number, since it uses less digits than its factorization.

20101211221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192688173 (or 192688161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20101211221120 its reverse (2112211210102), we get a palindrome (22213422431222).

The spelling of 20101211221120 in words is "twenty trillion, one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".