102121002000000 has 672 divisors, whose sum is σ = 367767608139360. Its totient is φ = 27199468800000.

The previous prime is 102121001999987. The next prime is 102121002000013. The reversal of 102121002000000 is 200121201.

It is an interprime number because it is at equal distance from previous prime (102121001999987) and next prime (102121002000013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17405997067 + ... + 17406002933.

Almost surely, 2^{102121002000000} is an apocalyptic number.

102121002000000 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 102121002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183883804069680).

102121002000000 is an abundant number, since it is smaller than the sum of its proper divisors (265646606139360).

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

102121002000000 is an frugal number, since it uses more digits than its factorization.

102121002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102121002000000 its reverse (200121201), we get a palindrome (102121202121201).

The spelling of 102121002000000 in words is "one hundred two trillion, one hundred twenty-one billion, two million", and thus it is an aban number.