102001212002120 has 384 divisors, whose sum is σ = 246390884208000. Its totient is φ = 37991794790400.

The previous prime is 102001212002119. The next prime is 102001212002177. The reversal of 102001212002120 is 21200212100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001212002095 and 102001212002104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31785979076 + ... + 31785982284.

It is an arithmetic number, because the mean of its divisors is an integer number (641642927625).

Almost surely, 2^{102001212002120} is an apocalyptic number.

102001212002120 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 102001212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123195442104000).

102001212002120 is an abundant number, since it is smaller than the sum of its proper divisors (144389672205880).

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

102001212002120 is a wasteful number, since it uses less digits than its factorization.

102001212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102001212002120 its reverse (21200212100201), we get a palindrome (123201424102321).

The spelling of 102001212002120 in words is "one hundred two trillion, one billion, two hundred twelve million, two thousand, one hundred twenty".