102121002110000 has 400 divisors, whose sum is σ = 261314591313600. Its totient is φ = 38571067392000.

The previous prime is 102121002109967. The next prime is 102121002110021. The reversal of 102121002110000 is 11200121201.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13858186316 + ... + 13858193684.

It is an arithmetic number, because the mean of its divisors is an integer number (653286478284).

Almost surely, 2^{102121002110000} is an apocalyptic number.

102121002110000 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 102121002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130657295656800).

102121002110000 is an abundant number, since it is smaller than the sum of its proper divisors (159193589203600).

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

102121002110000 is an equidigital number, since it uses as much as digits as its factorization.

102121002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8165 counting only the distinct ones).

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

Adding to 102121002110000 its reverse (11200121201), we get a palindrome (102132202231201).

The spelling of 102121002110000 in words is "one hundred two trillion, one hundred twenty-one billion, two million, one hundred ten thousand".