10100100010111 has 8 divisors (see below), whose sum is σ = 10129339237248. Its totient is φ = 10070892516000.

The previous prime is 10100100010073. The next prime is 10100100010123. The reversal of 10100100010111 is 11101000100101.

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 10100100010111 - 2¹⁷ = 10100099879039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100010094 and 10100100010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100010171) 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, 7295695 + ... + 8568976.

It is an arithmetic number, because the mean of its divisors is an integer number (1266167404656).

Almost surely, 2^{10100100010111} is an apocalyptic number.

10100100010111 is a deficient number, since it is larger than the sum of its proper divisors (29239227137).

10100100010111 is a wasteful number, since it uses less digits than its factorization.

10100100010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866513.

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

Adding to 10100100010111 its reverse (11101000100101), we get a palindrome (21201100110212).

The spelling of 10100100010111 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, one hundred eleven".