102214136224044 has 144 divisors (see below), whose sum is σ = 287871517926720. Its totient is φ = 30363143247360.

The previous prime is 102214136223989. The next prime is 102214136224051. The reversal of 102214136224044 is 440422631412201.

102214136224044 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 14 + 1 + 362 + 240 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145970449 + ... + 146669015.

It is an arithmetic number, because the mean of its divisors is an integer number (1999107763380).

Almost surely, 2^{102214136224044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102214136224044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143935758963360).

102214136224044 is an abundant number, since it is smaller than the sum of its proper divisors (185657381702676).

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

102214136224044 is a wasteful number, since it uses less digits than its factorization.

102214136224044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709400 (or 709395 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 102214136224044 its reverse (440422631412201), we get a palindrome (542636767636245).

The spelling of 102214136224044 in words is "one hundred two trillion, two hundred fourteen billion, one hundred thirty-six million, two hundred twenty-four thousand, forty-four".