100102102120 has 32 divisors (see below), whose sum is σ = 230021856000. Its totient is φ = 39188907328.

The previous prime is 100102102117. The next prime is 100102102127. The reversal of 100102102120 is 21201201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100102102097 and 100102102106.

It is not an unprimeable number, because it can be changed into a prime (100102102127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26621020 + ... + 26624779.

It is an arithmetic number, because the mean of its divisors is an integer number (7188183000).

Almost surely, 2^100102102120 is an apocalyptic number.

100102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102102120 is an abundant number, since it is smaller than the sum of its proper divisors (129919753880).

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

100102102120 is a wasteful number, since it uses less digits than its factorization.

100102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53245857 (or 53245853 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102102120 its reverse (21201201001), we get a palindrome (121303303121).

The spelling of 100102102120 in words is "one hundred billion, one hundred two million, one hundred two thousand, one hundred twenty".