100101011112011 has 144 divisors (see below), whose sum is σ = 131164250849280. Its totient is φ = 74758215168000.

The previous prime is 100101011111977. The next prime is 100101011112013. The reversal of 100101011112011 is 110211110101001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100101011112011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101011111983 and 100101011112001.

It is not an unprimeable number, because it can be changed into a prime (100101011112013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62524053611 + ... + 62524055211.

It is an arithmetic number, because the mean of its divisors is an integer number (910862853120).

Almost surely, 2^{100101011112011} is an apocalyptic number.

100101011112011 is a deficient number, since it is larger than the sum of its proper divisors (31063239737269).

100101011112011 is a wasteful number, since it uses less digits than its factorization.

100101011112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 2974 counting only the distinct ones).

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

Adding to 100101011112011 its reverse (110211110101001), we get a palindrome (210312121213012).

The spelling of 100101011112011 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred twelve thousand, eleven".