121010111102000 has 320 divisors, whose sum is σ = 297831815543808. Its totient is φ = 47544456960000.

The previous prime is 121010111101991. The next prime is 121010111102003. The reversal of 121010111102000 is 201111010121.

121010111102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121010111102003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53051340860 + ... + 53051343140.

Almost surely, 2^{121010111102000} is an apocalyptic number.

121010111102000 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 121010111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148915907771904).

121010111102000 is an abundant number, since it is smaller than the sum of its proper divisors (176821704441808).

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

121010111102000 is a wasteful number, since it uses less digits than its factorization.

121010111102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121010111102000 its reverse (201111010121), we get a palindrome (121211222112121).

The spelling of 121010111102000 in words is "one hundred twenty-one trillion, ten billion, one hundred eleven million, one hundred two thousand".