101200212002101 has 16 divisors (see below), whose sum is σ = 107242584612160. Its totient is φ = 95229871551360.

The previous prime is 101200212002083. The next prime is 101200212002129.

101200212002101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101200212002101 - 2²¹ = 101200209904949 is a prime.

It is a super-3 number, since 3×101200212002101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200212002171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585146 + ... + 14459716.

It is an arithmetic number, because the mean of its divisors is an integer number (6702661538260).

Almost surely, 2^{101200212002101} is an apocalyptic number.

It is an amenable number.

101200212002101 is a deficient number, since it is larger than the sum of its proper divisors (6042372610059).

101200212002101 is a wasteful number, since it uses less digits than its factorization.

101200212002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877604.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 101200212002101 in words is "one hundred one trillion, two hundred billion, two hundred twelve million, two thousand, one hundred one".