102121011201000 has 128 divisors (see below), whose sum is σ = 347582787327360. Its totient is φ = 24756608768000.

The previous prime is 102121011200953. The next prime is 102121011201007. The reversal of 102121011201000 is 102110121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102121011201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547255049 + ... + 1547321048.

It is an arithmetic number, because the mean of its divisors is an integer number (2715490525995).

Almost surely, 2^{102121011201000} is an apocalyptic number.

102121011201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121011201000 is an abundant number, since it is smaller than the sum of its proper divisors (245461776126360).

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

102121011201000 is a wasteful number, since it uses less digits than its factorization.

102121011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094576132 (or 3094576118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102121011201000 its reverse (102110121201), we get a palindrome (102223121322201).

The spelling of 102121011201000 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, two hundred one thousand".