102100000101110 has 256 divisors, whose sum is σ = 208377697167360. Its totient is φ = 35703797760000.

The previous prime is 102100000101103. The next prime is 102100000101149. The reversal of 102100000101110 is 11101000001201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55761877895 + ... + 55761879725.

It is an arithmetic number, because the mean of its divisors is an integer number (813975379560).

Almost surely, 2^{102100000101110} is an apocalyptic number.

102100000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100000101110 is an abundant number, since it is smaller than the sum of its proper divisors (106277697066250).

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

102100000101110 is a wasteful number, since it uses less digits than its factorization.

102100000101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102100000101110 its reverse (11101000001201), we get a palindrome (113201000102311).

Subtracting from 102100000101110 its reverse (11101000001201), we obtain a palindrome (90999000099909).

The spelling of 102100000101110 in words is "one hundred two trillion, one hundred billion, one hundred one thousand, one hundred ten".