122101111002001 has 8 divisors (see below), whose sum is σ = 122478994875744. Its totient is φ = 121723724673600.

The previous prime is 122101111001981. The next prime is 122101111002047. The reversal of 122101111002001 is 100200111101221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122101111002001 - 2⁹ = 122101111001489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101111002061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123894760 + ... + 124876393.

It is an arithmetic number, because the mean of its divisors is an integer number (15309874359468).

Almost surely, 2^{122101111002001} is an apocalyptic number.

It is an amenable number.

122101111002001 is a deficient number, since it is larger than the sum of its proper divisors (377883873743).

122101111002001 is a wasteful number, since it uses less digits than its factorization.

122101111002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248772671.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122101111002001 its reverse (100200111101221), we get a palindrome (222301222103222).

The spelling of 122101111002001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, two thousand, one".