103020020100 has 126 divisors (see below), whose sum is σ = 335177073770. Its totient is φ = 27471985920.

The previous prime is 103020020053. The next prime is 103020020113. The reversal of 103020020100 is 1020020301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12518924544 + 90501095556 = 111888^2 + 300834^2 .

It is a super-2 number, since 2×103020020100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 633685 + ... + 779484.

Almost surely, 2^103020020100 is an apocalyptic number.

103020020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020020100 is an abundant number, since it is smaller than the sum of its proper divisors (232157053670).

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

103020020100 is a wasteful number, since it uses less digits than its factorization.

103020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413201 (or 1413179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103020020100 its reverse (1020020301), we get a palindrome (104040040401).

The spelling of 103020020100 in words is "one hundred three billion, twenty million, twenty thousand, one hundred".