121011102211020 has 192 divisors, whose sum is σ = 410075821532160. Its totient is φ = 26028720857088.

The previous prime is 121011102210983. The next prime is 121011102211031. The reversal of 121011102211020 is 20112201110121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46272672 + ... + 48817848.

It is an arithmetic number, because the mean of its divisors is an integer number (2135811570480).

Almost surely, 2^{121011102211020} is an apocalyptic number.

121011102211020 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 121011102211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205037910766080).

121011102211020 is an abundant number, since it is smaller than the sum of its proper divisors (289064719321140).

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

121011102211020 is a wasteful number, since it uses less digits than its factorization.

121011102211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551872 (or 2551870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121011102211020 its reverse (20112201110121), we get a palindrome (141123303321141).

The spelling of 121011102211020 in words is "one hundred twenty-one trillion, eleven billion, one hundred two million, two hundred eleven thousand, twenty".