100111101021011 has 8 divisors (see below), whose sum is σ = 103676888779200. Its totient is φ = 96552891984640.

The previous prime is 100111101020971. The next prime is 100111101021031. The reversal of 100111101021011 is 110120101111001.

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 100111101021011 - 2⁶ = 100111101020947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101020983 and 100111101021001.

It is not an unprimeable number, because it can be changed into a prime (100111101021031) 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, 1894653566 + ... + 1894706403.

It is an arithmetic number, because the mean of its divisors is an integer number (12959611097400).

Almost surely, 2^{100111101021011} is an apocalyptic number.

100111101021011 is a deficient number, since it is larger than the sum of its proper divisors (3565787758189).

100111101021011 is an equidigital number, since it uses as much as digits as its factorization.

100111101021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789360909.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111101021011 its reverse (110120101111001), we get a palindrome (210231202132012).

The spelling of 100111101021011 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, twenty-one thousand, eleven".