122122122110001 has 48 divisors (see below), whose sum is σ = 197592652088832. Its totient is φ = 72172640217600.

The previous prime is 122122122109973. The next prime is 122122122110029. The reversal of 122122122110001 is 100011221221221.

122122122110001 is a `hidden beast` number, since 1 + 221 + 221 + 221 + 1 + 0 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122122122109973) and next prime (122122122110029).

It is not a de Polignac number, because 122122122110001 - 2²⁷ = 122121987892273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122122122110041) 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, 128037400 + ... + 128987673.

It is an arithmetic number, because the mean of its divisors is an integer number (4116513585184).

Almost surely, 2^{122122122110001} is an apocalyptic number.

It is an amenable number.

122122122110001 is a deficient number, since it is larger than the sum of its proper divisors (75470529978831).

122122122110001 is a wasteful number, since it uses less digits than its factorization.

122122122110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257025254 (or 257025251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122122122110001 its reverse (100011221221221), we get a palindrome (222133343331222).

It can be divided in two parts, 1221221221 and 10001, that multiplied together give a palindrome (12213433431221).

The spelling of 122122122110001 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one".