101102111333011 has 16 divisors (see below), whose sum is σ = 107465076759040. Its totient is φ = 94843474335360.

The previous prime is 101102111332967. The next prime is 101102111333059. The reversal of 101102111333011 is 110333111201101.

It is a cyclic number.

It is not a de Polignac number, because 101102111333011 - 2²⁵ = 101102077778579 is a prime.

It is a super-2 number, since 2×101102111333011² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102111333011.

It is not an unprimeable number, because it can be changed into a prime (101102111333071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22572091 + ... + 26677771.

It is an arithmetic number, because the mean of its divisors is an integer number (6716567297440).

Almost surely, 2^{101102111333011} is an apocalyptic number.

101102111333011 is a deficient number, since it is larger than the sum of its proper divisors (6362965426029).

101102111333011 is a wasteful number, since it uses less digits than its factorization.

101102111333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118386.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 101102111333011 its reverse (110333111201101), we get a palindrome (211435222534112).

The spelling of 101102111333011 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, three hundred thirty-three thousand, eleven".