101121031201123 has 16 divisors (see below), whose sum is σ = 101666417448960. Its totient is φ = 100577092019200.

The previous prime is 101121031201063. The next prime is 101121031201139. The reversal of 101121031201123 is 321102130121101.

It is a cyclic number.

It is not a de Polignac number, because 101121031201123 - 2³³ = 101112441266531 is a prime.

It is a super-2 number, since 2×101121031201123² (a number of 29 digits) contains 22 as substring.

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 101121031201123.

It is not an unprimeable number, because it can be changed into a prime (101121031201523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2590104483 + ... + 2590143523.

It is an arithmetic number, because the mean of its divisors is an integer number (6354151090560).

Almost surely, 2^{101121031201123} is an apocalyptic number.

101121031201123 is a deficient number, since it is larger than the sum of its proper divisors (545386247837).

101121031201123 is a wasteful number, since it uses less digits than its factorization.

101121031201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57218.

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

Adding to 101121031201123 its reverse (321102130121101), we get a palindrome (422223161322224).

The spelling of 101121031201123 in words is "one hundred one trillion, one hundred twenty-one billion, thirty-one million, two hundred one thousand, one hundred twenty-three".