121021021010120 has 256 divisors, whose sum is σ = 341079001804800. Its totient is φ = 37544114304000.

The previous prime is 121021021010069. The next prime is 121021021010171. The reversal of 121021021010120 is 21010120120121.

It is an interprime number because it is at equal distance from previous prime (121021021010069) and next prime (121021021010171).

It is a super-3 number, since 3×121021021010120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121021021010095 and 121021021010104.

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, 2349395165 + ... + 2349446675.

It is an arithmetic number, because the mean of its divisors is an integer number (1332339850800).

Almost surely, 2^{121021021010120} is an apocalyptic number.

121021021010120 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 121021021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170539500902400).

121021021010120 is an abundant number, since it is smaller than the sum of its proper divisors (220057980794680).

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

121021021010120 is a wasteful number, since it uses less digits than its factorization.

121021021010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55100 (or 55096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121021021010120 its reverse (21010120120121), we get a palindrome (142031141130241).

The spelling of 121021021010120 in words is "one hundred twenty-one trillion, twenty-one billion, twenty-one million, ten thousand, one hundred twenty".