101200242002101 has 16 divisors (see below), whose sum is σ = 111321305984448. Its totient is φ = 91993076453520.

The previous prime is 101200242002051. The next prime is 101200242002177.

101200242002101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-101200242002101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200242002401) 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, 14233791 + ... + 20124643.

It is an arithmetic number, because the mean of its divisors is an integer number (6957581624028).

Almost surely, 2^{101200242002101} is an apocalyptic number.

101200242002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200242002101 is a deficient number, since it is larger than the sum of its proper divisors (10121063982347).

101200242002101 is an equidigital number, since it uses as much as digits as its factorization.

101200242002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903793 (or 5903771 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 101200242002101 in words is "one hundred one trillion, two hundred billion, two hundred forty-two million, two thousand, one hundred one".