10100102120 has 32 divisors (see below), whose sum is σ = 22767284520. Its totient is φ = 4032564480.

The previous prime is 10100102119. The next prime is 10100102123. The reversal of 10100102120 is 2120100101.

It can be written as a sum of positive squares in 4 ways, for example, as 6736798084 + 3363304036 = 82078^2 + 57994^2 .

It is a super-3 number, since 3×10100102120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10100102098 and 10100102107.

It is not an unprimeable number, because it can be changed into a prime (10100102123) 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, 211727 + ... + 255006.

Almost surely, 2^10100102120 is an apocalyptic number.

10100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100102120 is an abundant number, since it is smaller than the sum of its proper divisors (12667182400).

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

10100102120 is a wasteful number, since it uses less digits than its factorization.

10100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467285 (or 467281 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100102120 its reverse (2120100101), we get a palindrome (12220202221).

The spelling of 10100102120 in words is "ten billion, one hundred million, one hundred two thousand, one hundred twenty".