102121020122000 has 640 divisors, whose sum is σ = 275069869401600. Its totient is φ = 36361273344000.

The previous prime is 102121020121933. The next prime is 102121020122027. The reversal of 102121020122000 is 221020121201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72477657296 + ... + 72477658704.

It is an arithmetic number, because the mean of its divisors is an integer number (429796670940).

Almost surely, 2^{102121020122000} is an apocalyptic number.

102121020122000 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 102121020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137534934700800).

102121020122000 is an abundant number, since it is smaller than the sum of its proper divisors (172948849279600).

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

102121020122000 is a wasteful number, since it uses less digits than its factorization.

102121020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1876 counting only the distinct ones).

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

Adding to 102121020122000 its reverse (221020121201), we get a palindrome (102342040243201).

The spelling of 102121020122000 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, one hundred twenty-two thousand".