121102002120000 has 840 divisors, whose sum is σ = 456609925427040. Its totient is φ = 28081461760000.

The previous prime is 121102002119957. The next prime is 121102002120007. The reversal of 121102002120000 is 21200201121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102002120007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 698193286 + ... + 698366714.

It is an arithmetic number, because the mean of its divisors is an integer number (543583244556).

Almost surely, 2^{121102002120000} is an apocalyptic number.

121102002120000 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 121102002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228304962713520).

121102002120000 is an abundant number, since it is smaller than the sum of its proper divisors (335507923307040).

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

121102002120000 is a wasteful number, since it uses less digits than its factorization.

121102002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173521 (or 173473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121102002120000 its reverse (21200201121), we get a palindrome (121123202321121).

The spelling of 121102002120000 in words is "one hundred twenty-one trillion, one hundred two billion, two million, one hundred twenty thousand".