10011311111220 has 192 divisors, whose sum is σ = 29414765592576. Its totient is φ = 2539274158080.

The previous prime is 10011311111209. The next prime is 10011311111231. The reversal of 10011311111220 is 2211111311001.

It is an interprime number because it is at equal distance from previous prime (10011311111209) and next prime (10011311111231).

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 10011311111220.

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, 911190567 + ... + 911201553.

It is an arithmetic number, because the mean of its divisors is an integer number (153201904128).

Almost surely, 2^{10011311111220} is an apocalyptic number.

10011311111220 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 10011311111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707382796288).

10011311111220 is an abundant number, since it is smaller than the sum of its proper divisors (19403454481356).

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

10011311111220 is a wasteful number, since it uses less digits than its factorization.

10011311111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10011311111220 its reverse (2211111311001), we get a palindrome (12222422422221).

The spelling of 10011311111220 in words is "ten trillion, eleven billion, three hundred eleven million, one hundred eleven thousand, two hundred twenty".