20101211220000 has 120 divisors (see below), whose sum is σ = 65935993240656. Its totient is φ = 5360322976000.

The previous prime is 20101211219963. The next prime is 20101211220011. The reversal of 20101211220000 is 2211210102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20101211220000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 167450094 + ... + 167570093.

Almost surely, 2^{20101211220000} is an apocalyptic number.

20101211220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101211220000 is an abundant number, since it is smaller than the sum of its proper divisors (45834782020656).

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

20101211220000 is an equidigital number, since it uses as much as digits as its factorization.

20101211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335020220 (or 335020197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101211220000 its reverse (2211210102), we get a palindrome (20103422430102).

The spelling of 20101211220000 in words is "twenty trillion, one hundred one billion, two hundred eleven million, two hundred twenty thousand".