1011002213100 has 144 divisors (see below), whose sum is σ = 3196930133376. Its totient is φ = 244642944000.

The previous prime is 1011002213087. The next prime is 1011002213107. The reversal of 1011002213100 is 13122001101.

It is a super-2 number, since 2×1011002213100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1011002213107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525060 + ... + 2085140.

It is an arithmetic number, because the mean of its divisors is an integer number (22200903704).

Almost surely, 2^{1011002213100} is an apocalyptic number.

1011002213100 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 1011002213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598465066688).

1011002213100 is an abundant number, since it is smaller than the sum of its proper divisors (2185927920276).

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

1011002213100 is a wasteful number, since it uses less digits than its factorization.

1011002213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560656 (or 560649 counting only the distinct ones).

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

Adding to 1011002213100 its reverse (13122001101), we get a palindrome (1024124214201).

The spelling of 1011002213100 in words is "one trillion, eleven billion, two million, two hundred thirteen thousand, one hundred".