102244160214042 has 256 divisors, whose sum is σ = 263784287010816. Its totient is φ = 25640391168000.

The previous prime is 102244160214023. The next prime is 102244160214043. The reversal of 102244160214042 is 240412061442201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 102244160213994 and 102244160214012.

It is not an unprimeable number, because it can be changed into a prime (102244160214043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11697073792 + ... + 11697082532.

It is an arithmetic number, because the mean of its divisors is an integer number (1030407371136).

Almost surely, 2^{102244160214042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102244160214042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131892143505408).

102244160214042 is an abundant number, since it is smaller than the sum of its proper divisors (161540126796774).

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

102244160214042 is a wasteful number, since it uses less digits than its factorization.

102244160214042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605.

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 102244160214042 in words is "one hundred two trillion, two hundred forty-four billion, one hundred sixty million, two hundred fourteen thousand, forty-two".