122021112101001 has 16 divisors (see below), whose sum is σ = 164248153968384. Its totient is φ = 80571043091024.

The previous prime is 122021112100981. The next prime is 122021112101107. The reversal of 122021112101001 is 100101211120221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122021112101001 - 2¹⁰ = 122021112099977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122021112101501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36384051 + ... + 39595976.

It is an arithmetic number, because the mean of its divisors is an integer number (10265509623024).

Almost surely, 2^{122021112101001} is an apocalyptic number.

It is an amenable number.

122021112101001 is a deficient number, since it is larger than the sum of its proper divisors (42227041867383).

122021112101001 is a wasteful number, since it uses less digits than its factorization.

122021112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75985140.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122021112101001 its reverse (100101211120221), we get a palindrome (222122323221222).

The spelling of 122021112101001 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, one".