10100001012222 has 128 divisors (see below), whose sum is σ = 22539730083840. Its totient is φ = 2991718800000.

The previous prime is 10100001012221. The next prime is 10100001012271. The reversal of 10100001012222 is 22221010000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100001012198 and 10100001012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164039479 + ... + 164101037.

It is an arithmetic number, because the mean of its divisors is an integer number (176091641280).

Almost surely, 2^{10100001012222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100001012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269865041920).

10100001012222 is an abundant number, since it is smaller than the sum of its proper divisors (12439729071618).

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

10100001012222 is a wasteful number, since it uses less digits than its factorization.

10100001012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61990.

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

Adding to 10100001012222 its reverse (22221010000101), we get a palindrome (32321011012323).

It can be divided in two parts, 1010000101 and 2222, that multiplied together give a palindrome (2244220224422).

The spelling of 10100001012222 in words is "ten trillion, one hundred billion, one million, twelve thousand, two hundred twenty-two".