10101158928 has 120 divisors (see below), whose sum is σ = 32361867200. Its totient is φ = 2881204992.

The previous prime is 10101158927. The next prime is 10101158933. The reversal of 10101158928 is 82985110101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10101158892 and 10101158901.

It is not an unprimeable number, because it can be changed into a prime (10101158927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615858 + ... + 632046.

Almost surely, 2^10101158928 is an apocalyptic number.

10101158928 is a gapful number since it is divisible by the number (18) 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 10101158928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180933600).

10101158928 is an abundant number, since it is smaller than the sum of its proper divisors (22260708272).

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

10101158928 is a wasteful number, since it uses less digits than its factorization.

10101158928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 10101158928 in words is "ten billion, one hundred one million, one hundred fifty-eight thousand, nine hundred twenty-eight".