102101001112 has 16 divisors (see below), whose sum is σ = 208842957000. Its totient is φ = 46409545920.

The previous prime is 102101001091. The next prime is 102101001127. The reversal of 102101001112 is 211100101201.

102101001112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102101001112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 580119237 + ... + 580119412.

Almost surely, 2^102101001112 is an apocalyptic number.

It is an amenable number.

102101001112 is an abundant number, since it is smaller than the sum of its proper divisors (106741955888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101001112 is a wasteful number, since it uses less digits than its factorization.

102101001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160238666 (or 1160238662 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102101001112 its reverse (211100101201), we get a palindrome (313201102313).

The spelling of 102101001112 in words is "one hundred two billion, one hundred one million, one thousand, one hundred twelve".