101012000 has 48 divisors (see below), whose sum is σ = 248196312. Its totient is φ = 40403200.

The previous prime is 101011991. The next prime is 101012029. The reversal of 101012000 is 210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57820816 + 43191184 = 7604^2 + 6572^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8627 + ... + 16626.

Almost surely, 2^101012000 is an apocalyptic number.

101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012000 is an abundant number, since it is smaller than the sum of its proper divisors (147184312).

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

101012000 is an equidigital number, since it uses as much as digits as its factorization.

101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25278 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101012000 is about 10050.4726257027. The cubic root of 101012000 is about 465.7193936520.

Adding to 101012000 its reverse (210101), we get a palindrome (101222101).

The spelling of 101012000 in words is "one hundred one million, twelve thousand".