101001112122133 has 16 divisors (see below), whose sum is σ = 101770927701120. Its totient is φ = 100234089849600.

The previous prime is 101001112122109. The next prime is 101001112122259. The reversal of 101001112122133 is 331221211100101.

It is a cyclic number.

It is not a de Polignac number, because 101001112122133 - 2²⁹ = 101000575251221 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 101001112122133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001112122733) 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, 1039303441 + ... + 1039400617.

It is an arithmetic number, because the mean of its divisors is an integer number (6360682981320).

Almost surely, 2^{101001112122133} is an apocalyptic number.

It is an amenable number.

101001112122133 is a deficient number, since it is larger than the sum of its proper divisors (769815578987).

101001112122133 is a wasteful number, since it uses less digits than its factorization.

101001112122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111468.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101001112122133 its reverse (331221211100101), we get a palindrome (432222323222234).

The spelling of 101001112122133 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".