102291949695312 has 960 divisors, whose sum is σ = 335213630668800. Its totient is φ = 29810673285120.

The previous prime is 102291949695289. The next prime is 102291949695319. The reversal of 102291949695312 is 213596949192201.

102291949695312 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 1 + 9 + 4 + 96 + 9 + 531 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102291949695312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102291949695319) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65613821989 + ... + 65613823547.

It is an arithmetic number, because the mean of its divisors is an integer number (349180865280).

Almost surely, 2^{102291949695312} is an apocalyptic number.

102291949695312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102291949695312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167606815334400).

102291949695312 is an abundant number, since it is smaller than the sum of its proper divisors (232921680973488).

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

102291949695312 is a wasteful number, since it uses less digits than its factorization.

102291949695312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 102291949695312 in words is "one hundred two trillion, two hundred ninety-one billion, nine hundred forty-nine million, six hundred ninety-five thousand, three hundred twelve".