122100000001001 has 4 divisors (see below), whose sum is σ = 133200000001104. Its totient is φ = 111000000000900.

The previous prime is 122100000000989. The next prime is 122100000001003. The reversal of 122100000001001 is 100100000001221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122100000001001 - 2³⁸ = 121825122094057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122100000001001.

It is not an unprimeable number, because it can be changed into a prime (122100000001003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5550000000035 + ... + 5550000000056.

It is an arithmetic number, because the mean of its divisors is an integer number (33300000000276).

Almost surely, 2^{122100000001001} is an apocalyptic number.

122100000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100000001001 is a deficient number, since it is larger than the sum of its proper divisors (11100000000103).

122100000001001 is a wasteful number, since it uses less digits than its factorization.

122100000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100000000102.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 122100000001001 its reverse (100100000001221), we get a palindrome (222200000002222).

The spelling of 122100000001001 in words is "one hundred twenty-two trillion, one hundred billion, one thousand, one".