10200100112100 has 216 divisors, whose sum is σ = 32129227035360. Its totient is φ = 2706635312640.

The previous prime is 10200100112051. The next prime is 10200100112143. The reversal of 10200100112100 is 121100100201.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 349555311 + ... + 349584489.

It is an arithmetic number, because the mean of its divisors is an integer number (148746421460).

Almost surely, 2^{10200100112100} is an apocalyptic number.

10200100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064613517680).

10200100112100 is an abundant number, since it is smaller than the sum of its proper divisors (21929126923260).

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

10200100112100 is a wasteful number, since it uses less digits than its factorization.

10200100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31099 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200100112100 its reverse (121100100201), we get a palindrome (10321200212301).

The spelling of 10200100112100 in words is "ten trillion, two hundred billion, one hundred million, one hundred twelve thousand, one hundred".