102001002101012 has 24 divisors (see below), whose sum is σ = 204049042029504. Its totient is φ = 43704635651712.

The previous prime is 102001002100999. The next prime is 102001002101021. The reversal of 102001002101012 is 210101200100201.

It is a super-2 number, since 2×102001002101012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001002100984 and 102001002101002.

It is a congruent number.

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, 419856998 + ... + 420099869.

It is an arithmetic number, because the mean of its divisors is an integer number (8502043417896).

Almost surely, 2^{102001002101012} is an apocalyptic number.

It is an amenable number.

102001002101012 is an abundant number, since it is smaller than the sum of its proper divisors (102048039928492).

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

102001002101012 is a wasteful number, since it uses less digits than its factorization.

102001002101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839961215 (or 839961213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001002101012 its reverse (210101200100201), we get a palindrome (312102202201213).

The spelling of 102001002101012 in words is "one hundred two trillion, one billion, two million, one hundred one thousand, twelve".