10101032000 has 56 divisors (see below), whose sum is σ = 25015225560. Its totient is φ = 4040409600.

The previous prime is 10101031991. The next prime is 10101032009. The reversal of 10101032000 is 23010101.

It is an interprime number because it is at equal distance from previous prime (10101031991) and next prime (10101032009).

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 10057682944 = 6584^2 + 100288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10101032009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623315 + ... + 639314.

Almost surely, 2^10101032000 is an apocalyptic number.

10101032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101032000 is an abundant number, since it is smaller than the sum of its proper divisors (14914193560).

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

10101032000 is an equidigital number, since it uses as much as digits as its factorization.

10101032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262656 (or 1262636 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10101032000 its reverse (23010101), we get a palindrome (10124042101).

The spelling of 10101032000 in words is "ten billion, one hundred one million, thirty-two thousand".