101111200101 has 80 divisors (see below), whose sum is σ = 162285742080. Its totient is φ = 62513441280.

The previous prime is 101111200087. The next prime is 101111200193. The reversal of 101111200101 is 101002111101.

It is not a de Polignac number, because 101111200101 - 2⁶ = 101111200037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111200301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28666000 + ... + 28669526.

It is an arithmetic number, because the mean of its divisors is an integer number (2028571776).

Almost surely, 2^101111200101 is an apocalyptic number.

It is an amenable number.

101111200101 is a deficient number, since it is larger than the sum of its proper divisors (61174541979).

101111200101 is a wasteful number, since it uses less digits than its factorization.

101111200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111200101 its reverse (101002111101), we get a palindrome (202113311202).

The spelling of 101111200101 in words is "one hundred one billion, one hundred eleven million, two hundred thousand, one hundred one".