122101210122001 has 16 divisors (see below), whose sum is σ = 135078354874368. Its totient is φ = 109436926712400.

The previous prime is 122101210121977. The next prime is 122101210122007. The reversal of 122101210122001 is 100221012101221.

It is a cyclic number.

It is not a de Polignac number, because 122101210122001 - 2⁹ = 122101210121489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101210122007) 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, 128660110 + ... + 129605656.

It is an arithmetic number, because the mean of its divisors is an integer number (8442397179648).

Almost surely, 2^{122101210122001} is an apocalyptic number.

122101210122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101210122001 is a deficient number, since it is larger than the sum of its proper divisors (12977144752367).

122101210122001 is a wasteful number, since it uses less digits than its factorization.

122101210122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110972.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122101210122001 its reverse (100221012101221), we get a palindrome (222322222223222).

The spelling of 122101210122001 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand, one".