102120100 has 36 divisors (see below), whose sum is σ = 225246868. Its totient is φ = 40176000.

The previous prime is 102120077. The next prime is 102120101. The reversal of 102120100 is 1021201.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 100440484 = 1296^2 + 10022^2 .

It is not an unprimeable number, because it can be changed into a prime (102120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2271 + ... + 14470.

Almost surely, 2^102120100 is an apocalyptic number.

102120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120100 is an abundant number, since it is smaller than the sum of its proper divisors (123126768).

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

102120100 is a wasteful number, since it uses less digits than its factorization.

102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102120100 is about 10105.4490251547. The cubic root of 102120100 is about 467.4161821765.

Adding to 102120100 its reverse (1021201), we get a palindrome (103141301).

Multiplying 102120100 by its reverse (1021201), we get a square (104285148240100 = 10212010²).

102120100 divided by its reverse (1021201) gives a square (100 = 10²).

The spelling of 102120100 in words is "one hundred two million, one hundred twenty thousand, one hundred".