10112022010002 has 128 divisors (see below), whose sum is σ = 23063908377600. Its totient is φ = 2927441888000.

The previous prime is 10112022009979. The next prime is 10112022010007. The reversal of 10112022010002 is 20001022021101.

It is a self number, because there is not a number n which added to its sum of digits gives 10112022010002.

It is not an unprimeable number, because it can be changed into a prime (10112022010007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322238749 + ... + 322270127.

It is an arithmetic number, because the mean of its divisors is an integer number (180186784200).

Almost surely, 2^{10112022010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112022010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531954188800).

10112022010002 is an abundant number, since it is smaller than the sum of its proper divisors (12951886367598).

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

10112022010002 is a wasteful number, since it uses less digits than its factorization.

10112022010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33192.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112022010002 its reverse (20001022021101), we get a palindrome (30113044031103).

It can be divided in two parts, 101120 and 22010002, that added together give a palindrome (22111122).

The spelling of 10112022010002 in words is "ten trillion, one hundred twelve billion, twenty-two million, ten thousand, two".