10211100110020 has 24 divisors (see below), whose sum is σ = 22571905507200. Its totient is φ = 3869469515232.

The previous prime is 10211100110009. The next prime is 10211100110021. The reversal of 10211100110020 is 2001100111201.

It is a super-2 number, since 2×10211100110020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10211100109979 and 10211100110006.

It is not an unprimeable number, because it can be changed into a prime (10211100110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13435657660 + ... + 13435658419.

It is an arithmetic number, because the mean of its divisors is an integer number (940496062800).

Almost surely, 2^{10211100110020} is an apocalyptic number.

10211100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211100110020 is an abundant number, since it is smaller than the sum of its proper divisors (12360805397180).

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

10211100110020 is a wasteful number, since it uses less digits than its factorization.

10211100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26871316107 (or 26871316105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211100110020 its reverse (2001100111201), we get a palindrome (12212200221221).

The spelling of 10211100110020 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred ten thousand, twenty".