10100010100111 has 16 divisors (see below), whose sum is σ = 10768937165280. Its totient is φ = 9439470443520.

The previous prime is 10100010100021. The next prime is 10100010100123. The reversal of 10100010100111 is 11100101000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100010100111 - 2⁷ = 10100010099983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100010100094 and 10100010100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010100151) 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, 3118476 + ... + 5470366.

It is an arithmetic number, because the mean of its divisors is an integer number (673058572830).

Almost surely, 2^{10100010100111} is an apocalyptic number.

10100010100111 is a deficient number, since it is larger than the sum of its proper divisors (668927065169).

10100010100111 is a wasteful number, since it uses less digits than its factorization.

10100010100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353674.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100010100111 its reverse (11100101000101), we get a palindrome (21200111100212).

The spelling of 10100010100111 in words is "ten trillion, one hundred billion, ten million, one hundred thousand, one hundred eleven".