100001011211111 has 16 divisors (see below), whose sum is σ = 110556062716608. Its totient is φ = 89970253824000.

The previous prime is 100001011211069. The next prime is 100001011211117. The reversal of 100001011211111 is 111112110100001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100001011211111 is a prime.

It is a super-2 number, since 2×100001011211111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001011211092 and 100001011211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011211117) 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, 79248170 + ... + 80500151.

It is an arithmetic number, because the mean of its divisors is an integer number (6909753919788).

Almost surely, 2^{100001011211111} is an apocalyptic number.

100001011211111 is a deficient number, since it is larger than the sum of its proper divisors (10555051505497).

100001011211111 is a wasteful number, since it uses less digits than its factorization.

100001011211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159749962.

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

Adding to 100001011211111 its reverse (111112110100001), we get a palindrome (211113121311112).

The spelling of 100001011211111 in words is "one hundred trillion, one billion, eleven million, two hundred eleven thousand, one hundred eleven".