10111200212022 has 256 divisors, whose sum is σ = 25836490487808. Its totient is φ = 2566821519360.

The previous prime is 10111200212021. The next prime is 10111200212053. The reversal of 10111200212022 is 22021200211101.

10111200212022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10111200211992 and 10111200212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111200212021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1303489768 + ... + 1303497524.

It is an arithmetic number, because the mean of its divisors is an integer number (100923790968).

Almost surely, 2^{10111200212022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111200212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918245243904).

10111200212022 is an abundant number, since it is smaller than the sum of its proper divisors (15725290275786).

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

10111200212022 is a wasteful number, since it uses less digits than its factorization.

10111200212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10111200212022 its reverse (22021200211101), we get a palindrome (32132400423123).

The spelling of 10111200212022 in words is "ten trillion, one hundred eleven billion, two hundred million, two hundred twelve thousand, twenty-two".