101122001 has 8 divisors (see below), whose sum is σ = 108111744. Its totient is φ = 94248000.

The previous prime is 101121991. The next prime is 101122003. The reversal of 101122001 is 100221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101122001 - 2¹⁴ = 101105617 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 101122001.

It is not an unprimeable number, because it can be changed into a prime (101122003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27125 + ... + 30626.

It is an arithmetic number, because the mean of its divisors is an integer number (13513968).

Almost surely, 2^101122001 is an apocalyptic number.

It is an amenable number.

101122001 is a deficient number, since it is larger than the sum of its proper divisors (6989743).

101122001 is a wasteful number, since it uses less digits than its factorization.

101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57871.

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

The square root of 101122001 is about 10055.9435658719. The cubic root of 101122001 is about 465.8883868215. Note that the first 3 decimals are identical.

Adding to 101122001 its reverse (100221101), we get a palindrome (201343102).

The spelling of 101122001 in words is "one hundred one million, one hundred twenty-two thousand, one".