102102211012120 has 96 divisors (see below), whose sum is σ = 252616758332400. Its totient is φ = 37112837287680.

The previous prime is 102102211012117. The next prime is 102102211012129. The reversal of 102102211012120 is 21210112201201.

It is a super-2 number, since 2×102102211012120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102211012094 and 102102211012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102211012129) 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 23 ways as a sum of consecutive naturals, for example, 7466911 + ... + 16123249.

Almost surely, 2^{102102211012120} is an apocalyptic number.

102102211012120 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 102102211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126308379166200).

102102211012120 is an abundant number, since it is smaller than the sum of its proper divisors (150514547320280).

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

102102211012120 is a wasteful number, since it uses less digits than its factorization.

102102211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658809 (or 8658794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102102211012120 its reverse (21210112201201), we get a palindrome (123312323213321).

The spelling of 102102211012120 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, twelve thousand, one hundred twenty".