201101110100111 has 8 divisors (see below), whose sum is σ = 218673051760800. Its totient is φ = 183829543510752.

The previous prime is 201101110100071. The next prime is 201101110100153. The reversal of 201101110100111 is 111001011101102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201101110100111 - 2¹⁸ = 201101109837967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201101110100092 and 201101110100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101110100161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75093766436 + ... + 75093769113.

It is an arithmetic number, because the mean of its divisors is an integer number (27334131470100).

Almost surely, 2^{201101110100111} is an apocalyptic number.

201101110100111 is a deficient number, since it is larger than the sum of its proper divisors (17571941660689).

201101110100111 is a wasteful number, since it uses less digits than its factorization.

201101110100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150187535665.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 201101110100111 its reverse (111001011101102), we get a palindrome (312102121201213).

The spelling of 201101110100111 in words is "two hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred eleven".