100122101001 has 96 divisors (see below), whose sum is σ = 171318551040. Its totient is φ = 57886285824.

The previous prime is 100122100987. The next prime is 100122101029. The reversal of 100122101001 is 100101221001.

It is a happy number.

It is not a de Polignac number, because 100122101001 - 2²³ = 100113712393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100122101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38611161 + ... + 38613753.

It is an arithmetic number, because the mean of its divisors is an integer number (1784568240).

Almost surely, 2^100122101001 is an apocalyptic number.

It is an amenable number.

100122101001 is a deficient number, since it is larger than the sum of its proper divisors (71196450039).

100122101001 is a wasteful number, since it uses less digits than its factorization.

100122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3345 counting only the distinct ones).

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

Adding to 100122101001 its reverse (100101221001), we get a palindrome (200223322002).

The spelling of 100122101001 in words is "one hundred billion, one hundred twenty-two million, one hundred one thousand, one".