10102000 has 40 divisors (see below), whose sum is σ = 24431472. Its totient is φ = 4040000.

The previous prime is 10101979. The next prime is 10102003. The reversal of 10102000 is 20101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102003) 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, 526 + ... + 4525.

Almost surely, 2^10102000 is an apocalyptic number.

10102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000 is an abundant number, since it is smaller than the sum of its proper divisors (14329472).

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

10102000 is an equidigital number, since it uses as much as digits as its factorization.

10102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10102000 is about 3178.3643592263. The cubic root of 10102000 is about 216.1735002890.

Adding to 10102000 its reverse (20101), we get a palindrome (10122101).

The spelling of 10102000 in words is "ten million, one hundred two thousand".