102120012110120 has 128 divisors (see below), whose sum is σ = 245343818592000. Its totient is φ = 38141538140160.

The previous prime is 102120012110117. The next prime is 102120012110141. The reversal of 102120012110120 is 21011210021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120012110095 and 102120012110104.

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, 179348594 + ... + 179917086.

It is an arithmetic number, because the mean of its divisors is an integer number (1916748582750).

Almost surely, 2^{102120012110120} is an apocalyptic number.

102120012110120 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 102120012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122671909296000).

102120012110120 is an abundant number, since it is smaller than the sum of its proper divisors (143223806481880).

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

102120012110120 is a wasteful number, since it uses less digits than its factorization.

102120012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571923 (or 571919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102120012110120 its reverse (21011210021201), we get a palindrome (123131222131321).

The spelling of 102120012110120 in words is "one hundred two trillion, one hundred twenty billion, twelve million, one hundred ten thousand, one hundred twenty".