100010111001011 has 16 divisors (see below), whose sum is σ = 100691242495200. Its totient is φ = 99331499823360.

The previous prime is 100010111001007. The next prime is 100010111001049. The reversal of 100010111001011 is 110100111010001.

It is a cyclic number.

It is not a de Polignac number, because 100010111001011 - 2² = 100010111001007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100010111001011.

It is not an unprimeable number, because it can be changed into a prime (100010111001211) 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, 263910476 + ... + 264289158.

It is an arithmetic number, because the mean of its divisors is an integer number (6293202655950).

Almost surely, 2^{100010111001011} is an apocalyptic number.

100010111001011 is a deficient number, since it is larger than the sum of its proper divisors (681131494189).

100010111001011 is a wasteful number, since it uses less digits than its factorization.

100010111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382006.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010111001011 its reverse (110100111010001), we get a palindrome (210110222011012).

The spelling of 100010111001011 in words is "one hundred trillion, ten billion, one hundred eleven million, one thousand, eleven".