102121100012120 has 768 divisors, whose sum is σ = 291041732966400. Its totient is φ = 32048226201600.

The previous prime is 102121100012069. The next prime is 102121100012131. The reversal of 102121100012120 is 21210001121201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102121100012095 and 102121100012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82555456142 + ... + 82555457378.

It is an arithmetic number, because the mean of its divisors is an integer number (378960589800).

Almost surely, 2^{102121100012120} is an apocalyptic number.

102121100012120 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 102121100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145520866483200).

102121100012120 is an abundant number, since it is smaller than the sum of its proper divisors (188920632954280).

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

102121100012120 is a wasteful number, since it uses less digits than its factorization.

102121100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1885 counting only the distinct ones).

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

Adding to 102121100012120 its reverse (21210001121201), we get a palindrome (123331101133321).

The spelling of 102121100012120 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred million, twelve thousand, one hundred twenty".