101022012100020 has 48 divisors (see below), whose sum is σ = 308576327871168. Its totient is φ = 24490184751360.

The previous prime is 101022012099887. The next prime is 101022012100109. The reversal of 101022012100020 is 20001210220101.

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 = 101022012099969 and 101022012100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76531826689 + ... + 76531828008.

It is an arithmetic number, because the mean of its divisors is an integer number (6428673497316).

Almost surely, 2^{101022012100020} is an apocalyptic number.

101022012100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022012100020 is an abundant number, since it is smaller than the sum of its proper divisors (207554315771148).

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

101022012100020 is a wasteful number, since it uses less digits than its factorization.

101022012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153063654720 (or 153063654718 counting only the distinct ones).

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

Adding to 101022012100020 its reverse (20001210220101), we get a palindrome (121023222320121).

The spelling of 101022012100020 in words is "one hundred one trillion, twenty-two billion, twelve million, one hundred thousand, twenty".