121100212121020 has 96 divisors (see below), whose sum is σ = 279530533481472. Its totient is φ = 43703946720000.

The previous prime is 121100212120957. The next prime is 121100212121023. The reversal of 121100212121020 is 20121212001121.

It is a super-2 number, since 2×121100212121020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100212120985 and 121100212121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100212121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16454685 + ... + 22648555.

It is an arithmetic number, because the mean of its divisors is an integer number (2911776390432).

Almost surely, 2^{121100212121020} is an apocalyptic number.

121100212121020 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 121100212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139765266740736).

121100212121020 is an abundant number, since it is smaller than the sum of its proper divisors (158430321360452).

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

121100212121020 is a wasteful number, since it uses less digits than its factorization.

121100212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194563 (or 6194561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121100212121020 its reverse (20121212001121), we get a palindrome (141221424122141).

The spelling of 121100212121020 in words is "one hundred twenty-one trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, twenty".