11200121102310 has 128 divisors (see below), whose sum is σ = 31164788911104. Its totient is φ = 2523042846720.

The previous prime is 11200121102293. The next prime is 11200121102329. The reversal of 11200121102310 is 1320112100211.

It is a super-2 number, since 2×11200121102310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200121102310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19974397 + ... + 20527463.

It is an arithmetic number, because the mean of its divisors is an integer number (243474913368).

Almost surely, 2^{11200121102310} is an apocalyptic number.

11200121102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200121102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582394455552).

11200121102310 is an abundant number, since it is smaller than the sum of its proper divisors (19964667808794).

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

11200121102310 is a wasteful number, since it uses less digits than its factorization.

11200121102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554478.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11200121102310 its reverse (1320112100211), we get a palindrome (12520233202521).

The spelling of 11200121102310 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, one hundred two thousand, three hundred ten".