101200105711 has 16 divisors (see below), whose sum is σ = 104121165600. Its totient is φ = 98325623808.

The previous prime is 101200105687. The next prime is 101200105717. The reversal of 101200105711 is 117501002101.

It is a cyclic number.

It is not a de Polignac number, because 101200105711 - 2⁵ = 101200105679 is a prime.

It is a super-2 number, since 2×101200105711² (a number of 23 digits) contains 22 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 (101200105717) 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, 1823671 + ... + 1878343.

It is an arithmetic number, because the mean of its divisors is an integer number (6507572850).

Almost surely, 2^101200105711 is an apocalyptic number.

101200105711 is a deficient number, since it is larger than the sum of its proper divisors (2921059889).

101200105711 is a wasteful number, since it uses less digits than its factorization.

101200105711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55098.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 101200105711 its reverse (117501002101), we get a palindrome (218701107812).

The spelling of 101200105711 in words is "one hundred one billion, two hundred million, one hundred five thousand, seven hundred eleven".