101100102111 has 24 divisors (see below), whose sum is σ = 147344599584. Its totient is φ = 66797337600.

The previous prime is 101100102101. The next prime is 101100102143. The reversal of 101100102111 is 111201001101.

It is not a de Polignac number, because 101100102111 - 2⁵ = 101100102079 is a prime.

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

101100102111 is a modest number, since divided by 102111 gives 1011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101100102093 and 101100102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100102101) 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, 406711 + ... + 606311.

It is an arithmetic number, because the mean of its divisors is an integer number (6139358316).

Almost surely, 2^101100102111 is an apocalyptic number.

101100102111 is a deficient number, since it is larger than the sum of its proper divisors (46244497473).

101100102111 is a wasteful number, since it uses less digits than its factorization.

101100102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200111 (or 200108 counting only the distinct ones).

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

Adding to 101100102111 its reverse (111201001101), we get a palindrome (212301103212).

The spelling of 101100102111 in words is "one hundred one billion, one hundred million, one hundred two thousand, one hundred eleven".