122121101001 has 64 divisors (see below), whose sum is σ = 174854744064. Its totient is φ = 75641280000.

The previous prime is 122121100987. The next prime is 122121101023. The reversal of 122121101001 is 100101121221.

It is a de Polignac number, because none of the positive numbers 2^k-122121101001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121171001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213872046 + ... + 213872616.

It is an arithmetic number, because the mean of its divisors is an integer number (2732105376).

Almost surely, 2^122121101001 is an apocalyptic number.

It is an amenable number.

122121101001 is a deficient number, since it is larger than the sum of its proper divisors (52733643063).

122121101001 is a wasteful number, since it uses less digits than its factorization.

122121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122121101001 its reverse (100101121221), we get a palindrome (222222222222).

The spelling of 122121101001 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, one".