101102121111201 has 32 divisors (see below), whose sum is σ = 155337483875328. Its totient is φ = 57295659839040.

The previous prime is 101102121111163. The next prime is 101102121111241. The reversal of 101102121111201 is 102111121201101.

It is not a de Polignac number, because 101102121111201 - 2¹⁴ = 101102121094817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102121111241) 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, 39058746 + ... + 41566691.

It is an arithmetic number, because the mean of its divisors is an integer number (4854296371104).

Almost surely, 2^{101102121111201} is an apocalyptic number.

It is an amenable number.

101102121111201 is a deficient number, since it is larger than the sum of its proper divisors (54235362764127).

101102121111201 is a wasteful number, since it uses less digits than its factorization.

101102121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80625941.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101102121111201 its reverse (102111121201101), we get a palindrome (203213242312302).

The spelling of 101102121111201 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".