10111221100032 has 160 divisors (see below), whose sum is σ = 29116851714720. Its totient is φ = 3099577712640.

The previous prime is 10111221100009. The next prime is 10111221100033. The reversal of 10111221100032 is 23000112211101.

It is a junction number, because it is equal to n+sod(n) for n = 10111221099984 and 10111221100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111221100033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4430182 + ... + 6312602.

It is an arithmetic number, because the mean of its divisors is an integer number (181980323217).

Almost surely, 2^{10111221100032} is an apocalyptic number.

10111221100032 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 10111221100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558425857360).

10111221100032 is an abundant number, since it is smaller than the sum of its proper divisors (19005630614688).

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

10111221100032 is a wasteful number, since it uses less digits than its factorization.

10111221100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882724 (or 1882708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10111221100032 its reverse (23000112211101), we get a palindrome (33111333311133).

The spelling of 10111221100032 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, thirty-two".