10122100 has 18 divisors (see below), whose sum is σ = 21965174. Its totient is φ = 4048800.

The previous prime is 10122043. The next prime is 10122113. The reversal of 10122100 is 122101.

It can be written as a sum of positive squares in 3 ways, for example, as 60516 + 10061584 = 246^2 + 3172^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50511 + ... + 50710.

Almost surely, 2^10122100 is an apocalyptic number.

10122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122100 is an abundant number, since it is smaller than the sum of its proper divisors (11843074).

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

10122100 is a wasteful number, since it uses less digits than its factorization.

10122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101235 (or 101228 counting only the distinct ones).

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

The square root of 10122100 is about 3181.5247916683. The cubic root of 10122100 is about 216.3167791356.

Adding to 10122100 its reverse (122101), we get a palindrome (10244201).

Subtracting from 10122100 its reverse (122101), we obtain a palindrome (9999999).

It can be divided in two parts, 101 and 22100, that added together give a square (22201 = 149²).

The spelling of 10122100 in words is "ten million, one hundred twenty-two thousand, one hundred".