101100122001 has 16 divisors (see below), whose sum is σ = 149784405120. Its totient is φ = 67397180400.

The previous prime is 101100121979. The next prime is 101100122009. The reversal of 101100122001 is 100221001101.

It is a happy number.

It is not a de Polignac number, because 101100122001 - 2¹⁹ = 101099597713 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 (101100122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693571 + ... + 826583.

It is an arithmetic number, because the mean of its divisors is an integer number (9361525320).

Almost surely, 2^101100122001 is an apocalyptic number.

It is an amenable number.

101100122001 is a deficient number, since it is larger than the sum of its proper divisors (48684283119).

101100122001 is a wasteful number, since it uses less digits than its factorization.

101100122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161173 (or 161167 counting only the distinct ones).

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

Adding to 101100122001 its reverse (100221001101), we get a palindrome (201321123102).

The spelling of 101100122001 in words is "one hundred one billion, one hundred million, one hundred twenty-two thousand, one".