102208042081152 has 384 divisors, whose sum is σ = 344521970058240. Its totient is φ = 28477762596864.

The previous prime is 102208042081111. The next prime is 102208042081153. The reversal of 102208042081152 is 251180240802201.

It is a happy number.

102208042081152 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 8 + 0 + 420 + 81 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102208042081153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104498443 + ... + 105471989.

It is an arithmetic number, because the mean of its divisors is an integer number (897192630360).

Almost surely, 2^{102208042081152} is an apocalyptic number.

102208042081152 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 102208042081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172260985029120).

102208042081152 is an abundant number, since it is smaller than the sum of its proper divisors (242313927977088).

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

102208042081152 is a wasteful number, since it uses less digits than its factorization.

102208042081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973898 (or 973883 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 102208042081152 its reverse (251180240802201), we get a palindrome (353388282883353).

The spelling of 102208042081152 in words is "one hundred two trillion, two hundred eight billion, forty-two million, eighty-one thousand, one hundred fifty-two".