102101202120 has 128 divisors (see below), whose sum is σ = 326506752000. Its totient is φ = 25467436800.

The previous prime is 102101202097. The next prime is 102101202127. The reversal of 102101202120 is 21202101201.

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 = 102101202096 and 102101202105.

It is not an unprimeable number, because it can be changed into a prime (102101202127) 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 31 ways as a sum of consecutive naturals, for example, 103306 + ... + 463545.

It is an arithmetic number, because the mean of its divisors is an integer number (2550834000).

Almost surely, 2^102101202120 is an apocalyptic number.

102101202120 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 102101202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163253376000).

102101202120 is an abundant number, since it is smaller than the sum of its proper divisors (224405549880).

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

102101202120 is a wasteful number, since it uses less digits than its factorization.

102101202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566963 (or 566959 counting only the distinct ones).

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

Adding to 102101202120 its reverse (21202101201), we get a palindrome (123303303321).

The spelling of 102101202120 in words is "one hundred two billion, one hundred one million, two hundred two thousand, one hundred twenty".