1011222022100 has 144 divisors (see below), whose sum is σ = 2301436292400. Its totient is φ = 385164165120.

The previous prime is 1011222022039. The next prime is 1011222022117. The reversal of 1011222022100 is 12202221101.

It can be written as a sum of positive squares in 24 ways, for example, as 146147173264 + 865074848836 = 382292^2 + 930094^2 .

It is a super-4 number, since 4×1011222022100⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82414766 + ... + 82427034.

It is an arithmetic number, because the mean of its divisors is an integer number (15982196475).

Almost surely, 2^{1011222022100} is an apocalyptic number.

1011222022100 is a gapful number since it is divisible by the number (10) 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 1011222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150718146200).

1011222022100 is an abundant number, since it is smaller than the sum of its proper divisors (1290214270300).

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

1011222022100 is a wasteful number, since it uses less digits than its factorization.

1011222022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1011222022100 its reverse (12202221101), we get a palindrome (1023424243201).

The spelling of 1011222022100 in words is "one trillion, eleven billion, two hundred twenty-two million, twenty-two thousand, one hundred".