101122000201 has 16 divisors (see below), whose sum is σ = 108643680000. Its totient is φ = 93779981568.

The previous prime is 101122000183. The next prime is 101122000219. The reversal of 101122000201 is 102000221101.

It is an interprime number because it is at equal distance from previous prime (101122000183) and next prime (101122000219).

It is not a de Polignac number, because 101122000201 - 2¹⁵ = 101121967433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122004201) 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 15 ways as a sum of consecutive naturals, for example, 594711 + ... + 745603.

It is an arithmetic number, because the mean of its divisors is an integer number (6790230000).

Almost surely, 2^101122000201 is an apocalyptic number.

It is an amenable number.

101122000201 is a deficient number, since it is larger than the sum of its proper divisors (7521679799).

101122000201 is a wasteful number, since it uses less digits than its factorization.

101122000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151488.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101122000201 its reverse (102000221101), we get a palindrome (203122221302).

The spelling of 101122000201 in words is "one hundred one billion, one hundred twenty-two million, two hundred one", and thus it is an aban number.