101202112112020 has 24 divisors (see below), whose sum is σ = 214628637770568. Its totient is φ = 40080044400000.

The previous prime is 101202112111999. The next prime is 101202112112041. The reversal of 101202112112020 is 20211211202101.

It is an interprime number because it is at equal distance from previous prime (101202112111999) and next prime (101202112112041).

It can be written as a sum of positive squares in 4 ways, for example, as 24751361305476 + 76450750806544 = 4975074^2 + 8743612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101202112111985 and 101202112112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25050025731 + ... + 25050029770.

It is an arithmetic number, because the mean of its divisors is an integer number (8942859907107).

Almost surely, 2^{101202112112020} is an apocalyptic number.

101202112112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202112112020 is an abundant number, since it is smaller than the sum of its proper divisors (113426525658548).

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

101202112112020 is a wasteful number, since it uses less digits than its factorization.

101202112112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50100055611 (or 50100055609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202112112020 its reverse (20211211202101), we get a palindrome (121413323314121).

The spelling of 101202112112020 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, twenty".