102120121002012 has 48 divisors (see below), whose sum is σ = 246497883864960. Its totient is φ = 32866107164352.

The previous prime is 102120121001957. The next prime is 102120121002013. The reversal of 102120121002012 is 210200121021201.

It is a super-2 number, since 2×102120121002012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120121001982 and 102120121002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120121002013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110687283 + ... + 111606069.

It is an arithmetic number, because the mean of its divisors is an integer number (5135372580520).

Almost surely, 2^{102120121002012} is an apocalyptic number.

102120121002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120121002012 is an abundant number, since it is smaller than the sum of its proper divisors (144377762862948).

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

102120121002012 is a wasteful number, since it uses less digits than its factorization.

102120121002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238210 (or 1238208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120121002012 its reverse (210200121021201), we get a palindrome (312320242023213).

The spelling of 102120121002012 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-one million, two thousand, twelve".