102210331310120 has 128 divisors (see below), whose sum is σ = 257775407303040. Its totient is φ = 36146733603840.

The previous prime is 102210331310099. The next prime is 102210331310137. The reversal of 102210331310120 is 21013133012201.

It is a happy number.

It is a super-2 number, since 2×102210331310120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102210331310092 and 102210331310101.

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, 35116514 + ... + 37915566.

It is an arithmetic number, because the mean of its divisors is an integer number (2013870369555).

Almost surely, 2^{102210331310120} is an apocalyptic number.

102210331310120 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 102210331310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887703651520).

102210331310120 is an abundant number, since it is smaller than the sum of its proper divisors (155565075992920).

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

102210331310120 is a wasteful number, since it uses less digits than its factorization.

102210331310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801355 (or 2801351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102210331310120 its reverse (21013133012201), we get a palindrome (123223464322321).

The spelling of 102210331310120 in words is "one hundred two trillion, two hundred ten billion, three hundred thirty-one million, three hundred ten thousand, one hundred twenty".