122220201002121 has 48 divisors (see below), whose sum is σ = 183112975977360. Its totient is φ = 78490396569600.

The previous prime is 122220201002117. The next prime is 122220201002129. The reversal of 122220201002121 is 121200102022221.

It is a happy number.

122220201002121 is a `hidden beast` number, since 122 + 220 + 201 + 0 + 0 + 2 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39745396316025 + 82474804686096 = 6304395^2 + 9081564^2 .

It is not a de Polignac number, because 122220201002121 - 2² = 122220201002117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122220201002094 and 122220201002103.

It is not an unprimeable number, because it can be changed into a prime (122220201002129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712859381 + ... + 1712930733.

It is an arithmetic number, because the mean of its divisors is an integer number (3814853666195).

Almost surely, 2^{122220201002121} is an apocalyptic number.

It is an amenable number.

122220201002121 is a deficient number, since it is larger than the sum of its proper divisors (60892774975239).

122220201002121 is a wasteful number, since it uses less digits than its factorization.

122220201002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122426 (or 122423 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220201002121 its reverse (121200102022221), we get a palindrome (243420303024342).

It can be divided in two parts, 12222020100 and 2121, that added together give a palindrome (12222022221).

The spelling of 122220201002121 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred one million, two thousand, one hundred twenty-one".