101024000000 has 672 divisors, whose sum is σ = 322477122240. Its totient is φ = 30720000000.

The previous prime is 101023999963. The next prime is 101024000039. The reversal of 101024000000 is 420101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2463999980 + ... + 2464000020.

It is an arithmetic number, because the mean of its divisors is an integer number (479876670).

Almost surely, 2^101024000000 is an apocalyptic number.

101024000000 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 101024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161238561120).

101024000000 is an abundant number, since it is smaller than the sum of its proper divisors (221453122240).

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

101024000000 is an frugal number, since it uses more digits than its factorization.

101024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

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

Adding to 101024000000 its reverse (420101), we get a palindrome (101024420101).

The spelling of 101024000000 in words is "one hundred one billion, twenty-four million", and thus it is an aban number.