20101100122320 has 160 divisors (see below), whose sum is σ = 71324388732672. Its totient is φ = 4587500875776.

The previous prime is 20101100122307. The next prime is 20101100122333. The reversal of 20101100122320 is 2322100110102.

It is an interprime number because it is at equal distance from previous prime (20101100122307) and next prime (20101100122333).

It is a super-2 number, since 2×20101100122320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20101100122320.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8064477 + ... + 10258556.

Almost surely, 2^{20101100122320} is an apocalyptic number.

20101100122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101100122320 is an abundant number, since it is smaller than the sum of its proper divisors (51223288610352).

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

20101100122320 is a wasteful number, since it uses less digits than its factorization.

20101100122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323709 (or 18323703 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20101100122320 its reverse (2322100110102), we get a palindrome (22423200232422).

The spelling of 20101100122320 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, three hundred twenty".