122021212202001 has 18 divisors (see below), whose sum is σ = 205028839551042. Its totient is φ = 69726406972320.

The previous prime is 122021212201969. The next prime is 122021212202009. The reversal of 122021212202001 is 100202212120221.

It is a happy number.

122021212202001 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 21 + 220 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121090326851025 + 930885350976 = 11004105^2 + 964824^2 .

It is not a de Polignac number, because 122021212202001 - 2⁵ = 122021212201969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122021212202009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138346045140 + ... + 138346046021.

It is an arithmetic number, because the mean of its divisors is an integer number (11390491086169).

Almost surely, 2^{122021212202001} is an apocalyptic number.

It is an amenable number.

122021212202001 is a deficient number, since it is larger than the sum of its proper divisors (83007627349041).

122021212202001 is a wasteful number, since it uses less digits than its factorization.

122021212202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276692091181 (or 276692091171 counting only the distinct ones).

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

Adding to 122021212202001 its reverse (100202212120221), we get a palindrome (222223424322222).

The spelling of 122021212202001 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twelve million, two hundred two thousand, one".