102121535320000 has 560 divisors, whose sum is σ = 294694511569920. Its totient is φ = 34374560256000.

The previous prime is 102121535319983. The next prime is 102121535320001. The reversal of 102121535320000 is 23535121201.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×102121535320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121535320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14091556377 + ... + 14091563623.

It is an arithmetic number, because the mean of its divisors is an integer number (526240199232).

Almost surely, 2^{102121535320000} is an apocalyptic number.

102121535320000 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 102121535320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147347255784960).

102121535320000 is an abundant number, since it is smaller than the sum of its proper divisors (192572976249920).

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

102121535320000 is an frugal number, since it uses more digits than its factorization.

102121535320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 102121535320000 in words is "one hundred two trillion, one hundred twenty-one billion, five hundred thirty-five million, three hundred twenty thousand".