102001001002120 has 32 divisors (see below), whose sum is σ = 250366093369920. Its totient is φ = 37091273091520.

The previous prime is 102001001002099. The next prime is 102001001002141. The reversal of 102001001002120 is 21200100100201.

It is an interprime number because it is at equal distance from previous prime (102001001002099) and next prime (102001001002141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102001001002097 and 102001001002106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115910227972 + ... + 115910228851.

It is an arithmetic number, because the mean of its divisors is an integer number (7823940417810).

Almost surely, 2^{102001001002120} is an apocalyptic number.

102001001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001001002120 is an abundant number, since it is smaller than the sum of its proper divisors (148365092367800).

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

102001001002120 is a wasteful number, since it uses less digits than its factorization.

102001001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231820456845 (or 231820456841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001001002120 its reverse (21200100100201), we get a palindrome (123201101102321).

The spelling of 102001001002120 in words is "one hundred two trillion, one billion, one million, two thousand, one hundred twenty".