100101121110011 has 16 divisors (see below), whose sum is σ = 119589568349184. Its totient is φ = 81923140536864.

The previous prime is 100101121109921. The next prime is 100101121110047. The reversal of 100101121110011 is 110011121101001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101121110011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101121109974 and 100101121110001.

It is not an unprimeable number, because it can be changed into a prime (100101121110061) 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, 558030695 + ... + 558210048.

It is an arithmetic number, because the mean of its divisors is an integer number (7474348021824).

Almost surely, 2^{100101121110011} is an apocalyptic number.

100101121110011 is a deficient number, since it is larger than the sum of its proper divisors (19488447239173).

100101121110011 is a wasteful number, since it uses less digits than its factorization.

100101121110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116241330.

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

Adding to 100101121110011 its reverse (110011121101001), we get a palindrome (210112242211012).

The spelling of 100101121110011 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, eleven".