101012102101020 has 96 divisors (see below), whose sum is σ = 308651046600960. Its totient is φ = 24479449845760.

The previous prime is 101012102101003. The next prime is 101012102101121. The reversal of 101012102101020 is 20101201210101.

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 = 101012102100987 and 101012102101005.

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, 24097797 + ... + 27977276.

It is an arithmetic number, because the mean of its divisors is an integer number (3215115068760).

Almost surely, 2^{101012102101020} is an apocalyptic number.

101012102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012102101020 is an abundant number, since it is smaller than the sum of its proper divisors (207638944499940).

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

101012102101020 is a wasteful number, since it uses less digits than its factorization.

101012102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52078035 (or 52078033 counting only the distinct ones).

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

Adding to 101012102101020 its reverse (20101201210101), we get a palindrome (121113303311121).

The spelling of 101012102101020 in words is "one hundred one trillion, twelve billion, one hundred two million, one hundred one thousand, twenty".