120121101121021 has 96 divisors (see below), whose sum is σ = 163807814419200. Its totient is φ = 85709438115840.

The previous prime is 120121101121009. The next prime is 120121101121033.

120121101121021 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (120121101121009) and next prime (120121101121033).

It is not a de Polignac number, because 120121101121021 - 2³¹ = 120118953637373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121101120986 and 120121101121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121101121121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 855231226 + ... + 855371668.

It is an arithmetic number, because the mean of its divisors is an integer number (1706331400200).

Almost surely, 2^{120121101121021} is an apocalyptic number.

120121101121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121101121021 is a deficient number, since it is larger than the sum of its proper divisors (43686713298179).

120121101121021 is a wasteful number, since it uses less digits than its factorization.

120121101121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141107 (or 141096 counting only the distinct ones).

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

It can be divided in two parts, 12012110 and 1121021, that added together give a palindrome (13133131).

The spelling of 120121101121021 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, twenty-one".