102010222020032 has 112 divisors (see below), whose sum is σ = 216978259464000. Its totient is φ = 47413740109824.

The previous prime is 102010222020019. The next prime is 102010222020097. The reversal of 102010222020032 is 230020222010201.

102010222020032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88415444 + ... + 89561772.

Almost surely, 2^{102010222020032} 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 102010222020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108489129732000).

102010222020032 is an abundant number, since it is smaller than the sum of its proper divisors (114968037443968).

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

102010222020032 is a wasteful number, since it uses less digits than its factorization.

102010222020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147366 (or 1147356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102010222020032 its reverse (230020222010201), we get a palindrome (332030444030233).

The spelling of 102010222020032 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, twenty thousand, thirty-two".