10002120223032 has 96 divisors (see below), whose sum is σ = 30963341541600. Its totient is φ = 2857342666752.

The previous prime is 10002120223031. The next prime is 10002120223111. The reversal of 10002120223032 is 23032202120001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002120222996 and 10002120223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120223031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2150644 + ... + 4962812.

It is an arithmetic number, because the mean of its divisors is an integer number (322534807725).

Almost surely, 2^{10002120223032} is an apocalyptic number.

10002120223032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002120223032 is an abundant number, since it is smaller than the sum of its proper divisors (20961221318568).

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

10002120223032 is a wasteful number, since it uses less digits than its factorization.

10002120223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819245 (or 2819238 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10002120223032 its reverse (23032202120001), we get a palindrome (33034322343033).

The spelling of 10002120223032 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty-three thousand, thirty-two".