122000121201001 has 24 divisors (see below), whose sum is σ = 133226807658120. Its totient is φ = 111570364555776.

The previous prime is 122000121200983. The next prime is 122000121201017. The reversal of 122000121201001 is 100102121000221.

It can be written as a sum of positive squares in 4 ways, for example, as 3174882512400 + 118825238688601 = 1781820^2 + 10900699^2 .

It is not a de Polignac number, because 122000121201001 - 2¹⁹ = 122000120676713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122000121201041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49219555 + ... + 51638791.

It is an arithmetic number, because the mean of its divisors is an integer number (5551116985755).

Almost surely, 2^{122000121201001} is an apocalyptic number.

It is an amenable number.

122000121201001 is a deficient number, since it is larger than the sum of its proper divisors (11226686457119).

122000121201001 is a wasteful number, since it uses less digits than its factorization.

122000121201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424121 (or 2424102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122000121201001 its reverse (100102121000221), we get a palindrome (222102242201222).

The spelling of 122000121201001 in words is "one hundred twenty-two trillion, one hundred twenty-one million, two hundred one thousand, one".