10100222111112 has 128 divisors (see below), whose sum is σ = 29711634243840. Its totient is φ = 2800781107200.

The previous prime is 10100222111093. The next prime is 10100222111129. The reversal of 10100222111112 is 21111122200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100222111091 and 10100222111100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466588 + ... + 4518644.

It is an arithmetic number, because the mean of its divisors is an integer number (232122142530).

Almost surely, 2^{10100222111112} is an apocalyptic number.

10100222111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100222111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855817121920).

10100222111112 is an abundant number, since it is smaller than the sum of its proper divisors (19611412132728).

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

10100222111112 is a wasteful number, since it uses less digits than its factorization.

10100222111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052511 (or 4052507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10100222111112 its reverse (21111122200101), we get a palindrome (31211344311213).

The spelling of 10100222111112 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".