102034214021334 has 256 divisors, whose sum is σ = 244254892621824. Its totient is φ = 27814026240000.

The previous prime is 102034214021291. The next prime is 102034214021371. The reversal of 102034214021334 is 433120412430201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5324533237 + ... + 5324552399.

It is an arithmetic number, because the mean of its divisors is an integer number (954120674304).

Almost surely, 2^{102034214021334} is an apocalyptic number.

102034214021334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034214021334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127446310912).

102034214021334 is an abundant number, since it is smaller than the sum of its proper divisors (142220678600490).

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

102034214021334 is a wasteful number, since it uses less digits than its factorization.

102034214021334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 102034214021334 its reverse (433120412430201), we get a palindrome (535154626451535).

The spelling of 102034214021334 in words is "one hundred two trillion, thirty-four billion, two hundred fourteen million, twenty-one thousand, three hundred thirty-four".