100100001011011 has 8 divisors (see below), whose sum is σ = 100678878834624. Its totient is φ = 99521126234880.

The previous prime is 100100001010963. The next prime is 100100001011063. The reversal of 100100001011011 is 110110100001001.

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 100100001011011 - 2¹⁷ = 100100000879939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100001010985 and 100100001011003.

It is not an unprimeable number, because it can be changed into a prime (100100001011411) 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, 124249651 + ... + 125052691.

It is an arithmetic number, because the mean of its divisors is an integer number (12584859854328).

Almost surely, 2^{100100001011011} is an apocalyptic number.

100100001011011 is a deficient number, since it is larger than the sum of its proper divisors (578877823613).

100100001011011 is an equidigital number, since it uses as much as digits as its factorization.

100100001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523741.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100001011011 its reverse (110110100001001), we get a palindrome (210210101012012).

The spelling of 100100001011011 in words is "one hundred trillion, one hundred billion, one million, eleven thousand, eleven".