101110100103201 has 32 divisors (see below), whose sum is σ = 155975481446400. Its totient is φ = 57064011116544.

The previous prime is 101110100103161. The next prime is 101110100103211. The reversal of 101110100103201 is 102301001011101.

It is not a de Polignac number, because 101110100103201 - 2¹³ = 101110100095009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110100103211) 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 31 ways as a sum of consecutive naturals, for example, 2849376 + ... + 14503073.

It is an arithmetic number, because the mean of its divisors is an integer number (4874233795200).

Almost surely, 2^{101110100103201} is an apocalyptic number.

It is an amenable number.

101110100103201 is a deficient number, since it is larger than the sum of its proper divisors (54865381343199).

101110100103201 is a wasteful number, since it uses less digits than its factorization.

101110100103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17355885.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101110100103201 its reverse (102301001011101), we get a palindrome (203411101114302).

The spelling of 101110100103201 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred three thousand, two hundred one".