122022211001 has 24 divisors (see below), whose sum is σ = 125230344984. Its totient is φ = 118888197120.

The previous prime is 122022210979. The next prime is 122022211009. The reversal of 122022211001 is 100112220221.

It can be written as a sum of positive squares in 12 ways, for example, as 33589725625 + 88432485376 = 183275^2 + 297376^2 .

It is not a de Polignac number, because 122022211001 - 2¹⁴ = 122022194617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122022211009) 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, 289838771 + ... + 289839191.

It is an arithmetic number, because the mean of its divisors is an integer number (5217931041).

Almost surely, 2^122022211001 is an apocalyptic number.

It is an amenable number.

122022211001 is a deficient number, since it is larger than the sum of its proper divisors (3208133983).

122022211001 is an equidigital number, since it uses as much as digits as its factorization.

122022211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122022211001 its reverse (100112220221), we get a palindrome (222134431222).

The spelling of 122022211001 in words is "one hundred twenty-two billion, twenty-two million, two hundred eleven thousand, one".