102210110121120 has 48 divisors (see below), whose sum is σ = 321961846883040. Its totient is φ = 27256029365504.

The previous prime is 102210110121061. The next prime is 102210110121137. The reversal of 102210110121120 is 21121011012201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×102210110121120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210110121120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106468864230 + ... + 106468865189.

It is an arithmetic number, because the mean of its divisors is an integer number (6707538476730).

Almost surely, 2^{102210110121120} is an apocalyptic number.

102210110121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210110121120 is an abundant number, since it is smaller than the sum of its proper divisors (219751736761920).

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

102210110121120 is a wasteful number, since it uses less digits than its factorization.

102210110121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212937729437 (or 212937729429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102210110121120 its reverse (21121011012201), we get a palindrome (123331121133321).

The spelling of 102210110121120 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".