102010000 has 75 divisors (see below), whose sum is σ = 249445933. Its totient is φ = 40400000.

The previous prime is 102009983. The next prime is 102010033. The reversal of 102010000 is 10201.

The square root of 102010000 is 10100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 22014864 + 79995136 = 4692^2 + 8944^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1009950 + ... + 1010050.

Almost surely, 2^102010000 is an apocalyptic number.

102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010000 is the 10100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010000

102010000 is an abundant number, since it is smaller than the sum of its proper divisors (147435933).

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

102010000 is an frugal number, since it uses more digits than its factorization.

102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

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

The cubic root of 102010000 is about 467.2481413847.

Adding to 102010000 its reverse (10201), we get a palindrome (102020201).

Multiplying 102010000 by its reverse (10201), we get a 4-th power (1040604010000 = 1010⁴).

102010000 divided by its reverse (10201) gives a 4-th power (10000 = 10⁴).

The spelling of 102010000 in words is "one hundred two million, ten thousand".