102121000002 has 96 divisors (see below), whose sum is σ = 257136122880. Its totient is φ = 28688657760.

The previous prime is 102120999989. The next prime is 102121000019. The reversal of 102121000002 is 200000121201.

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 47 ways as a sum of consecutive naturals, for example, 2183499 + ... + 2229777.

It is an arithmetic number, because the mean of its divisors is an integer number (2678501280).

Almost surely, 2^102121000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128568061440).

102121000002 is an abundant number, since it is smaller than the sum of its proper divisors (155015122878).

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

102121000002 is a wasteful number, since it uses less digits than its factorization.

102121000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46588 (or 46585 counting only the distinct ones).

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

Adding to 102121000002 its reverse (200000121201), we get a palindrome (302121121203).

The spelling of 102121000002 in words is "one hundred two billion, one hundred twenty-one million, two", and thus it is an aban number.