11300101421240 has 256 divisors, whose sum is σ = 26726985141120. Its totient is φ = 4295756021760.

The previous prime is 11300101421239. The next prime is 11300101421291. The reversal of 11300101421240 is 4212410100311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5129413979 + ... + 5129416181.

Almost surely, 2^{11300101421240} is an apocalyptic number.

11300101421240 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 11300101421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363492570560).

11300101421240 is an abundant number, since it is smaller than the sum of its proper divisors (15426883719880).

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

11300101421240 is a wasteful number, since it uses less digits than its factorization.

11300101421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11300101421240 its reverse (4212410100311), we get a palindrome (15512511521551).

The spelling of 11300101421240 in words is "eleven trillion, three hundred billion, one hundred one million, four hundred twenty-one thousand, two hundred forty".