101042031000 has 128 divisors (see below), whose sum is σ = 315858816000. Its totient is φ = 26892604800.

The previous prime is 101042030983. The next prime is 101042031037. The reversal of 101042031000 is 130240101.

It is a happy number.

It is a super-2 number, since 2×101042031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1536801 + ... + 1601199.

It is an arithmetic number, because the mean of its divisors is an integer number (2467647000).

Almost surely, 2^101042031000 is an apocalyptic number.

101042031000 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 101042031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157929408000).

101042031000 is an abundant number, since it is smaller than the sum of its proper divisors (214816785000).

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

101042031000 is a wasteful number, since it uses less digits than its factorization.

101042031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64946 (or 64932 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101042031000 its reverse (130240101), we get a palindrome (101172271101).

The spelling of 101042031000 in words is "one hundred one billion, forty-two million, thirty-one thousand".