101011012101020 has 48 divisors (see below), whose sum is σ = 242609117076480. Its totient is φ = 34606248715584.

The previous prime is 101011012101011. The next prime is 101011012101023. The reversal of 101011012101020 is 20101210110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011012100992 and 101011012101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011012101023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271670750 + ... + 272042309.

It is an arithmetic number, because the mean of its divisors is an integer number (5054356605760).

Almost surely, 2^{101011012101020} is an apocalyptic number.

101011012101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011012101020 is an abundant number, since it is smaller than the sum of its proper divisors (141598104975460).

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

101011012101020 is a wasteful number, since it uses less digits than its factorization.

101011012101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543714402 (or 543714400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011012101020 its reverse (20101210110101), we get a palindrome (121112222211121).

The spelling of 101011012101020 in words is "one hundred one trillion, eleven billion, twelve million, one hundred one thousand, twenty".