102221329947462 has 96 divisors (see below), whose sum is σ = 243004526972064. Its totient is φ = 30798377164800.

The previous prime is 102221329947461. The next prime is 102221329947463. The reversal of 102221329947462 is 264749923122201.

It is a happy number.

102221329947462 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 132 + 9 + 9 + 47 + 462 = 666.

It is an interprime number because it is at equal distance from previous prime (102221329947461) and next prime (102221329947463).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102221329947399 and 102221329947408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221329947461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23416438 + ... + 27436694.

It is an arithmetic number, because the mean of its divisors is an integer number (2531297155959).

Almost surely, 2^{102221329947462} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221329947462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121502263486032).

102221329947462 is an abundant number, since it is smaller than the sum of its proper divisors (140783197024602).

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

102221329947462 is a wasteful number, since it uses less digits than its factorization.

102221329947462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021014 (or 4021011 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 102221329947462 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred twenty-nine million, nine hundred forty-seven thousand, four hundred sixty-two".