10101012000 has 96 divisors (see below), whose sum is σ = 33090954624. Its totient is φ = 2693600000.

The previous prime is 10101011993. The next prime is 10101012017. The reversal of 10101012000 is 21010101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10101012000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408876 + ... + 432875.

It is an arithmetic number, because the mean of its divisors is an integer number (344697444).

Almost surely, 2^10101012000 is an apocalyptic number.

10101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101012000 is an abundant number, since it is smaller than the sum of its proper divisors (22989942624).

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

10101012000 is an equidigital number, since it uses as much as digits as its factorization.

10101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841779 (or 841761 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10101012000 its reverse (21010101), we get a palindrome (10122022101).

It can be divided in two parts, 1010101 and 2000, that added together give a palindrome (1012101).

The spelling of 10101012000 in words is "ten billion, one hundred one million, twelve thousand".