102121010102000 has 80 divisors (see below), whose sum is σ = 251113833266400. Its totient is φ = 40156058163200.

The previous prime is 102121010101997. The next prime is 102121010102003. The reversal of 102121010102000 is 201010121201.

It is an interprime number because it is at equal distance from previous prime (102121010101997) and next prime (102121010102003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121010102003) 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, 432598145 + ... + 432834144.

It is an arithmetic number, because the mean of its divisors is an integer number (3138922915830).

Almost surely, 2^{102121010102000} is an apocalyptic number.

102121010102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121010102000 is an abundant number, since it is smaller than the sum of its proper divisors (148992823164400).

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

102121010102000 is an equidigital number, since it uses as much as digits as its factorization.

102121010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865432371 (or 865432355 counting only the distinct ones).

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

Adding to 102121010102000 its reverse (201010121201), we get a palindrome (102322020223201).

The spelling of 102121010102000 in words is "one hundred two trillion, one hundred twenty-one billion, ten million, one hundred two thousand".