101020010031000 has 256 divisors, whose sum is σ = 361499565772800. Its totient is φ = 26069679792000.

The previous prime is 101020010030999. The next prime is 101020010031007. The reversal of 101020010031000 is 130010020101.

It is a super-2 number, since 2×101020010031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020010031007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59509482 + ... + 61183481.

It is an arithmetic number, because the mean of its divisors is an integer number (1412107678800).

Almost surely, 2^{101020010031000} is an apocalyptic number.

101020010031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020010031000 is an abundant number, since it is smaller than the sum of its proper divisors (260479555741800).

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

101020010031000 is a wasteful number, since it uses less digits than its factorization.

101020010031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120693024 (or 120693004 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101020010031000 its reverse (130010020101), we get a palindrome (101150020051101).

The spelling of 101020010031000 in words is "one hundred one trillion, twenty billion, ten million, thirty-one thousand".