101122100001 has 32 divisors (see below), whose sum is σ = 161658000000. Its totient is φ = 62104169664.

The previous prime is 101122099993. The next prime is 101122100063. The reversal of 101122100001 is 100001221101.

It is a happy number.

It is not a de Polignac number, because 101122100001 - 2³ = 101122099993 is a prime.

It is a super-2 number, since 2×101122100001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101122100201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113526 + ... + 463823.

It is an arithmetic number, because the mean of its divisors is an integer number (5051812500).

Almost surely, 2^101122100001 is an apocalyptic number.

It is an amenable number.

101122100001 is a deficient number, since it is larger than the sum of its proper divisors (60535899999).

101122100001 is a wasteful number, since it uses less digits than its factorization.

101122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577870 (or 577864 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101122100001 its reverse (100001221101), we get a palindrome (201123321102).

The spelling of 101122100001 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one".