1000100100111 has 64 divisors (see below), whose sum is σ = 1544856821760. Its totient is φ = 563713395840.

The previous prime is 1000100100059. The next prime is 1000100100119. The reversal of 1000100100111 is 1110010010001.

It is not a de Polignac number, because 1000100100111 - 2¹⁰ = 1000100099087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100100119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506892121 + ... + 506894093.

It is an arithmetic number, because the mean of its divisors is an integer number (24138387840).

Almost surely, 2^{1000100100111} is an apocalyptic number.

1000100100111 is a deficient number, since it is larger than the sum of its proper divisors (544756721649).

1000100100111 is a wasteful number, since it uses less digits than its factorization.

1000100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156.

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

Adding to 1000100100111 its reverse (1110010010001), we get a palindrome (2110110110112).

The spelling of 1000100100111 in words is "one trillion, one hundred million, one hundred thousand, one hundred eleven".