101102011011 has 12 divisors (see below), whose sum is σ = 146170107720. Its totient is φ = 67339554720.

The previous prime is 101102011001. The next prime is 101102011189. The reversal of 101102011011 is 110110201101.

It is not a de Polignac number, because 101102011011 - 2¹⁴ = 101101994627 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 = 101102010984 and 101102011002.

It is not an unprimeable number, because it can be changed into a prime (101102011001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5138466 + ... + 5158103.

It is an arithmetic number, because the mean of its divisors is an integer number (12180842310).

Almost surely, 2^101102011011 is an apocalyptic number.

101102011011 is a deficient number, since it is larger than the sum of its proper divisors (45068096709).

101102011011 is a wasteful number, since it uses less digits than its factorization.

101102011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297666 (or 10297663 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101102011011 its reverse (110110201101), we get a palindrome (211212212112).

The spelling of 101102011011 in words is "one hundred one billion, one hundred two million, eleven thousand, eleven".