100011332211420 has 768 divisors, whose sum is σ = 348663557652480. Its totient is φ = 20928576614400.

The previous prime is 100011332211379. The next prime is 100011332211457. The reversal of 100011332211420 is 24112233110001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17270128725 + ... + 17270134515.

It is an arithmetic number, because the mean of its divisors is an integer number (453989007360).

Almost surely, 2^{100011332211420} is an apocalyptic number.

100011332211420 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 100011332211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174331778826240).

100011332211420 is an abundant number, since it is smaller than the sum of its proper divisors (248652225441060).

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

100011332211420 is a wasteful number, since it uses less digits than its factorization.

100011332211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100011332211420 its reverse (24112233110001), we get a palindrome (124123565321421).

The spelling of 100011332211420 in words is "one hundred trillion, eleven billion, three hundred thirty-two million, two hundred eleven thousand, four hundred twenty".