100010010101111 has 8 divisors (see below), whose sum is σ = 109179814800000. Its totient is φ = 90853203002040.

The previous prime is 100010010101107. The next prime is 100010010101269. The reversal of 100010010101111 is 111101010010001.

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 100010010101111 - 2² = 100010010101107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010010131111) 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, 3249383861 + ... + 3249414638.

It is an arithmetic number, because the mean of its divisors is an integer number (13647476850000).

Almost surely, 2^{100010010101111} is an apocalyptic number.

100010010101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010010101111 is a deficient number, since it is larger than the sum of its proper divisors (9169804698889).

100010010101111 is a wasteful number, since it uses less digits than its factorization.

100010010101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498799909.

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

Adding to 100010010101111 its reverse (111101010010001), we get a palindrome (211111020111112).

The spelling of 100010010101111 in words is "one hundred trillion, ten billion, ten million, one hundred one thousand, one hundred eleven".