102101022120 has 128 divisors (see below), whose sum is σ = 310775149440. Its totient is φ = 26832076800.

The previous prime is 102101022103. The next prime is 102101022169. The reversal of 102101022120 is 21220101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102101022096 and 102101022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457520 + ... + 2498720.

It is an arithmetic number, because the mean of its divisors is an integer number (2427930855).

Almost surely, 2^102101022120 is an apocalyptic number.

102101022120 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 102101022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387574720).

102101022120 is an abundant number, since it is smaller than the sum of its proper divisors (208674127320).

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

102101022120 is a wasteful number, since it uses less digits than its factorization.

102101022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41515 (or 41511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101022120 its reverse (21220101201), we get a palindrome (123321123321).

The spelling of 102101022120 in words is "one hundred two billion, one hundred one million, twenty-two thousand, one hundred twenty".