102101001111 has 48 divisors (see below), whose sum is σ = 153034502400. Its totient is φ = 65527418880.

The previous prime is 102101001091. The next prime is 102101001127. The reversal of 102101001111 is 111100101201.

It is not a de Polignac number, because 102101001111 - 2¹⁰ = 102101000087 is a prime.

It is a super-2 number, since 2×102101001111² (a number of 23 digits) contains 22 as substring.

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 = 102101001093 and 102101001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101001151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49731561 + ... + 49733613.

It is an arithmetic number, because the mean of its divisors is an integer number (3188218800).

Almost surely, 2^102101001111 is an apocalyptic number.

102101001111 is a deficient number, since it is larger than the sum of its proper divisors (50933501289).

102101001111 is a wasteful number, since it uses less digits than its factorization.

102101001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2933 counting only the distinct ones).

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

Adding to 102101001111 its reverse (111100101201), we get a palindrome (213201102312).

The spelling of 102101001111 in words is "one hundred two billion, one hundred one million, one thousand, one hundred eleven".