10102100120 has 128 divisors (see below), whose sum is σ = 28287360000. Its totient is φ = 3168087552.

The previous prime is 10102100119. The next prime is 10102100137. The reversal of 10102100120 is 2100120101.

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 = 10102100098 and 10102100107.

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 31 ways as a sum of consecutive naturals, for example, 121541 + ... + 187019.

It is an arithmetic number, because the mean of its divisors is an integer number (220995000).

Almost surely, 2^10102100120 is an apocalyptic number.

10102100120 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 10102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143680000).

10102100120 is an abundant number, since it is smaller than the sum of its proper divisors (18185259880).

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

10102100120 is a wasteful number, since it uses less digits than its factorization.

10102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65545 (or 65541 counting only the distinct ones).

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

Adding to 10102100120 its reverse (2100120101), we get a palindrome (12202220221).

The spelling of 10102100120 in words is "ten billion, one hundred two million, one hundred thousand, one hundred twenty".