102111000101110 has 192 divisors, whose sum is σ = 248167662105600. Its totient is φ = 29374851018240.

The previous prime is 102111000101059. The next prime is 102111000101179. The reversal of 102111000101110 is 11101000111201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1118942244 + ... + 1119033496.

It is an arithmetic number, because the mean of its divisors is an integer number (1292539906800).

Almost surely, 2^{102111000101110} is an apocalyptic number.

102111000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111000101110 is an abundant number, since it is smaller than the sum of its proper divisors (146056662004490).

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

102111000101110 is a wasteful number, since it uses less digits than its factorization.

102111000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99903 (or 99890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 102111000101110 its reverse (11101000111201), we get a palindrome (113212000212311).

The spelling of 102111000101110 in words is "one hundred two trillion, one hundred eleven billion, one hundred one thousand, one hundred ten".