102111001101 has 24 divisors (see below), whose sum is σ = 151055606520. Its totient is φ = 66449258496.

The previous prime is 102111001079. The next prime is 102111001103. The reversal of 102111001101 is 101100111201.

It can be written as a sum of positive squares in 4 ways, for example, as 2185469001 + 99925532100 = 46749^2 + 316110^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102111001101 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 (102111001103) 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, 737406 + ... + 864863.

It is an arithmetic number, because the mean of its divisors is an integer number (6293983605).

Almost surely, 2^102111001101 is an apocalyptic number.

It is an amenable number.

102111001101 is a deficient number, since it is larger than the sum of its proper divisors (48944605419).

102111001101 is a wasteful number, since it uses less digits than its factorization.

102111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602445 (or 1602442 counting only the distinct ones).

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

Adding to 102111001101 its reverse (101100111201), we get a palindrome (203211112302).

The spelling of 102111001101 in words is "one hundred two billion, one hundred eleven million, one thousand, one hundred one".