100010000100111 has 16 divisors (see below), whose sum is σ = 133548165192960. Its totient is φ = 66572641055360.

The previous prime is 100010000100089. The next prime is 100010000100119. The reversal of 100010000100111 is 111001000010001.

It is a cyclic number.

It is not a de Polignac number, because 100010000100111 - 2¹³ = 100010000091919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000100119) 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, 66381 + ... + 14142998.

It is an arithmetic number, because the mean of its divisors is an integer number (8346760324560).

Almost surely, 2^{100010000100111} is an apocalyptic number.

100010000100111 is a deficient number, since it is larger than the sum of its proper divisors (33538165092849).

100010000100111 is a wasteful number, since it uses less digits than its factorization.

100010000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212926.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010000100111 its reverse (111001000010001), we get a palindrome (211011000110112).

The spelling of 100010000100111 in words is "one hundred trillion, ten billion, one hundred thousand, one hundred eleven".