101121210100020 has 96 divisors (see below), whose sum is σ = 309616515694080. Its totient is φ = 24455726162560.

The previous prime is 101121210100013. The next prime is 101121210100037. The reversal of 101121210100020 is 20001012121101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101121210099969 and 101121210100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182556342 + ... + 183109421.

It is an arithmetic number, because the mean of its divisors is an integer number (3225172038480).

Almost surely, 2^{101121210100020} is an apocalyptic number.

101121210100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121210100020 is an abundant number, since it is smaller than the sum of its proper divisors (208495305594060).

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

101121210100020 is a wasteful number, since it uses less digits than its factorization.

101121210100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365666205 (or 365666203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121210100020 its reverse (20001012121101), we get a palindrome (121122222221121).

The spelling of 101121210100020 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, twenty".