121002102000 has 480 divisors, whose sum is σ = 456693269760. Its totient is φ = 29682892800.

The previous prime is 121002101999. The next prime is 121002102043. The reversal of 121002102000 is 201200121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85877296 + ... + 85878704.

It is an arithmetic number, because the mean of its divisors is an integer number (951444312).

Almost surely, 2^121002102000 is an apocalyptic number.

121002102000 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 121002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228346634880).

121002102000 is an abundant number, since it is smaller than the sum of its proper divisors (335691167760).

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

121002102000 is a wasteful number, since it uses less digits than its factorization.

121002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

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

Adding to 121002102000 its reverse (201200121), we get a palindrome (121203302121).

The spelling of 121002102000 in words is "one hundred twenty-one billion, two million, one hundred two thousand".