101102011101 has 72 divisors (see below), whose sum is σ = 192575466720. Its totient is φ = 50521713984.

The previous prime is 101102011001. The next prime is 101102011189. The reversal of 101102011101 is 101110201101.

It is not a de Polignac number, because 101102011101 - 2¹³ = 101102002909 is a prime.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 355155 + ... + 573008.

It is an arithmetic number, because the mean of its divisors is an integer number (2674659260).

Almost surely, 2^101102011101 is an apocalyptic number.

It is an amenable number.

101102011101 is a deficient number, since it is larger than the sum of its proper divisors (91473455619).

101102011101 is a wasteful number, since it uses less digits than its factorization.

101102011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928215 (or 928205 counting only the distinct ones).

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

Adding to 101102011101 its reverse (101110201101), we get a palindrome (202212212202).

It can be divided in two parts, 1011020 and 11101, that added together give a square (1022121 = 1011²).

The spelling of 101102011101 in words is "one hundred one billion, one hundred two million, eleven thousand, one hundred one".