10201120100 has 36 divisors (see below), whose sum is σ = 22142593200. Its totient is φ = 4079312160.

The previous prime is 10201120091. The next prime is 10201120109. The reversal of 10201120100 is 102110201.

It is an interprime number because it is at equal distance from previous prime (10201120091) and next prime (10201120109).

It is not an unprimeable number, because it can be changed into a prime (10201120109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 409811 + ... + 433989.

Almost surely, 2^10201120100 is an apocalyptic number.

10201120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201120100 is an abundant number, since it is smaller than the sum of its proper divisors (11941473100).

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

10201120100 is a wasteful number, since it uses less digits than its factorization.

10201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412 (or 28405 counting only the distinct ones).

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

Adding to 10201120100 its reverse (102110201), we get a palindrome (10303230301).

The spelling of 10201120100 in words is "ten billion, two hundred one million, one hundred twenty thousand, one hundred".