101110010101011 has 24 divisors (see below), whose sum is σ = 149998366215360. Its totient is φ = 65583412667136.

The previous prime is 101110010100977. The next prime is 101110010101027. The reversal of 101110010101011 is 110101010011101.

It is not a de Polignac number, because 101110010101011 - 2¹⁸ = 101110009838867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110010100984 and 101110010101002.

It is not an unprimeable number, because it can be changed into a prime (101110010101091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11718475 + ... + 18426683.

It is an arithmetic number, because the mean of its divisors is an integer number (6249931925640).

Almost surely, 2^{101110010101011} is an apocalyptic number.

101110010101011 is a deficient number, since it is larger than the sum of its proper divisors (48888356114349).

101110010101011 is a wasteful number, since it uses less digits than its factorization.

101110010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753515 (or 6753512 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110010101011 its reverse (110101010011101), we get a palindrome (211211020112112).

The spelling of 101110010101011 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred one thousand, eleven".