102101210101120 has 128 divisors (see below), whose sum is σ = 258465536128800. Its totient is φ = 38434853191680.

The previous prime is 102101210101117. The next prime is 102101210101139. The reversal of 102101210101120 is 21101012101201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102101210101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102101210101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130289026 + ... + 131070334.

Almost surely, 2^{102101210101120} is an apocalyptic number.

102101210101120 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 102101210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129232768064400).

102101210101120 is an abundant number, since it is smaller than the sum of its proper divisors (156364326027680).

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

102101210101120 is a wasteful number, since it uses less digits than its factorization.

102101210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793356 (or 793344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101210101120 its reverse (21101012101201), we get a palindrome (123202222202321).

The spelling of 102101210101120 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twenty".