11202201101000 has 384 divisors, whose sum is σ = 33376903428960. Its totient is φ = 3487180032000.

The previous prime is 11202201100991. The next prime is 11202201101029. The reversal of 11202201101000 is 10110220211.

It can be written as a sum of positive squares in 16 ways, for example, as 7891278776164 + 3310922324836 = 2809142^2 + 1819594^2 .

It is a super-2 number, since 2×11202201101000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38712854 + ... + 39001146.

Almost surely, 2^{11202201101000} is an apocalyptic number.

11202201101000 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 11202201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688451714480).

11202201101000 is an abundant number, since it is smaller than the sum of its proper divisors (22174702327960).

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

11202201101000 is a wasteful number, since it uses less digits than its factorization.

11202201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288402 (or 288381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11202201101000 its reverse (10110220211), we get a palindrome (11212311321211).

The spelling of 11202201101000 in words is "eleven trillion, two hundred two billion, two hundred one million, one hundred one thousand".