102034312410114 has 128 divisors (see below), whose sum is σ = 268076666880000. Its totient is φ = 28146743037504.

The previous prime is 102034312410113. The next prime is 102034312410119. The reversal of 102034312410114 is 411014213430201.

It is a happy number.

102034312410114 is a `hidden beast` number, since 1 + 0 + 203 + 4 + 31 + 2 + 410 + 1 + 14 = 666.

It is a super-2 number, since 2×102034312410114² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102034312410113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651053487 + ... + 651210189.

It is an arithmetic number, because the mean of its divisors is an integer number (2094348960000).

Almost surely, 2^{102034312410114} is an apocalyptic number.

102034312410114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102034312410114 is an abundant number, since it is smaller than the sum of its proper divisors (166042354469886).

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

102034312410114 is a wasteful number, since it uses less digits than its factorization.

102034312410114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216149 (or 216143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102034312410114 its reverse (411014213430201), we get a palindrome (513048525840315).

The spelling of 102034312410114 in words is "one hundred two trillion, thirty-four billion, three hundred twelve million, four hundred ten thousand, one hundred fourteen".