101102112020 has 192 divisors, whose sum is σ = 278131262976. Its totient is φ = 29957160960.

The previous prime is 101102111993. The next prime is 101102112091. The reversal of 101102112020 is 20211201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102111992 and 101102112010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5962955 + ... + 5979885.

It is an arithmetic number, because the mean of its divisors is an integer number (1448600328).

Almost surely, 2^101102112020 is an apocalyptic number.

101102112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139065631488).

101102112020 is an abundant number, since it is smaller than the sum of its proper divisors (177029150956).

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

101102112020 is a wasteful number, since it uses less digits than its factorization.

101102112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17170 (or 17168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102112020 its reverse (20211201101), we get a palindrome (121313313121).

The spelling of 101102112020 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, twenty".