11102021400 has 96 divisors (see below), whose sum is σ = 34480203840. Its totient is φ = 2955039360.

The previous prime is 11102021321. The next prime is 11102021453. The reversal of 11102021400 is 412020111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311287 + ... + 345113.

It is an arithmetic number, because the mean of its divisors is an integer number (359168790).

Almost surely, 2^11102021400 is an apocalyptic number.

11102021400 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 11102021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240101920).

11102021400 is an abundant number, since it is smaller than the sum of its proper divisors (23378182440).

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

11102021400 is a wasteful number, since it uses less digits than its factorization.

11102021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34393 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102021400 its reverse (412020111), we get a palindrome (11514041511).

The spelling of 11102021400 in words is "eleven billion, one hundred two million, twenty-one thousand, four hundred".