102122121002000 has 320 divisors, whose sum is σ = 271512809568000. Its totient is φ = 36841628160000.

The previous prime is 102122121001997. The next prime is 102122121002053. The reversal of 102122121002000 is 200121221201.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4528886726 + ... + 4528909274.

It is an arithmetic number, because the mean of its divisors is an integer number (848477529900).

Almost surely, 2^{102122121002000} is an apocalyptic number.

102122121002000 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 102122121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135756404784000).

102122121002000 is an abundant number, since it is smaller than the sum of its proper divisors (169390688566000).

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

102122121002000 is a wasteful number, since it uses less digits than its factorization.

102122121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24203 (or 24187 counting only the distinct ones).

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

Adding to 102122121002000 its reverse (200121221201), we get a palindrome (102322242223201).

The spelling of 102122121002000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand".