102434716311010 has 128 divisors (see below), whose sum is σ = 195988045824000. Its totient is φ = 38463629098752.

The previous prime is 102434716310959. The next prime is 102434716311089. The reversal of 102434716311010 is 10113617434201.

It is a super-2 number, since 2×102434716311010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27995274561 + ... + 27995278219.

It is an arithmetic number, because the mean of its divisors is an integer number (1531156608000).

Almost surely, 2^{102434716311010} is an apocalyptic number.

102434716311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102434716311010 is a deficient number, since it is larger than the sum of its proper divisors (93553329512990).

102434716311010 is a wasteful number, since it uses less digits than its factorization.

102434716311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 102434716311010 in words is "one hundred two trillion, four hundred thirty-four billion, seven hundred sixteen million, three hundred eleven thousand, ten".