10221000111102 has 256 divisors, whose sum is σ = 23520625744896. Its totient is φ = 2933729280000.

The previous prime is 10221000111083. The next prime is 10221000111103. The reversal of 10221000111102 is 20111100012201.

It is a super-2 number, since 2×10221000111102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221000111103) 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, 3899655352 + ... + 3899657972.

It is an arithmetic number, because the mean of its divisors is an integer number (91877444316).

Almost surely, 2^{10221000111102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221000111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760312872448).

10221000111102 is an abundant number, since it is smaller than the sum of its proper divisors (13299625633794).

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

10221000111102 is a wasteful number, since it uses less digits than its factorization.

10221000111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221000111102 its reverse (20111100012201), we get a palindrome (30332100123303).

The spelling of 10221000111102 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven thousand, one hundred two".