121022001 has 27 divisors (see below), whose sum is σ = 185455179. Its totient is φ = 76038912.

The previous prime is 121021981. The next prime is 121022009. The reversal of 121022001 is 100220121.

The square root of 121022001 is 11001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29322225 + 91699776 = 5415^2 + 9576^2 .

It is not a de Polignac number, because 121022001 - 2⁵ = 121021969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121022009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 626961 + ... + 627153.

Almost surely, 2^121022001 is an apocalyptic number.

121022001 is the 11001-st square number.

121022001 is the 5501-st centered octagonal number.

It is an amenable number.

121022001 is a deficient number, since it is larger than the sum of its proper divisors (64433178).

121022001 is an equidigital number, since it uses as much as digits as its factorization.

121022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 121022001 is about 494.6387201582.

Adding to 121022001 its reverse (100220121), we get a palindrome (221242122).

The spelling of 121022001 in words is "one hundred twenty-one million, twenty-two thousand, one".