101102100111 has 24 divisors (see below), whose sum is σ = 151244181504. Its totient is φ = 65038191120.

The previous prime is 101102100083. The next prime is 101102100131. The reversal of 101102100111 is 111001201101.

It is not a de Polignac number, because 101102100111 - 2¹⁷ = 101101969039 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 = 101102100093 and 101102100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102100131) 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, 1653151 + ... + 1713216.

It is an arithmetic number, because the mean of its divisors is an integer number (6301840896).

Almost surely, 2^101102100111 is an apocalyptic number.

101102100111 is a deficient number, since it is larger than the sum of its proper divisors (50142081393).

101102100111 is a wasteful number, since it uses less digits than its factorization.

101102100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366491 (or 3366488 counting only the distinct ones).

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

Adding to 101102100111 its reverse (111001201101), we get a palindrome (212103301212).

The spelling of 101102100111 in words is "one hundred one billion, one hundred two million, one hundred thousand, one hundred eleven".