101011012100111 has 4 divisors (see below), whose sum is σ = 106952836341312. Its totient is φ = 95069187858912.

The previous prime is 101011012100071. The next prime is 101011012100153. The reversal of 101011012100111 is 111001210110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101011012100111 - 2¹⁰ = 101011012099087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011012100092 and 101011012100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011012100311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2970912120575 + ... + 2970912120608.

It is an arithmetic number, because the mean of its divisors is an integer number (26738209085328).

Almost surely, 2^{101011012100111} is an apocalyptic number.

101011012100111 is a deficient number, since it is larger than the sum of its proper divisors (5941824241201).

101011012100111 is an equidigital number, since it uses as much as digits as its factorization.

101011012100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941824241200.

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

Adding to 101011012100111 its reverse (111001210110101), we get a palindrome (212012222210212).

The spelling of 101011012100111 in words is "one hundred one trillion, eleven billion, twelve million, one hundred thousand, one hundred eleven".