122120010000001 has 8 divisors (see below), whose sum is σ = 132815974319784. Its totient is φ = 111610062451200.

The previous prime is 122120009999993. The next prime is 122120010000019. The reversal of 122120010000001 is 100000010021221.

It can be written as a sum of positive squares in 4 ways, for example, as 41188413552400 + 80931596447601 = 6417820^2 + 8996199^2 .

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 122120010000001 - 2³ = 122120009999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120010000061) 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, 46504191376 + ... + 46504194001.

It is an arithmetic number, because the mean of its divisors is an integer number (16601996789973).

Almost surely, 2^{122120010000001} is an apocalyptic number.

It is an amenable number.

122120010000001 is a deficient number, since it is larger than the sum of its proper divisors (10695964319783).

122120010000001 is a wasteful number, since it uses less digits than its factorization.

122120010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93008385491.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122120010000001 its reverse (100000010021221), we get a palindrome (222120020021222).

The spelling of 122120010000001 in words is "one hundred twenty-two trillion, one hundred twenty billion, ten million, one", and thus it is an aban number.