10111222011020 has 384 divisors, whose sum is σ = 23888266149888. Its totient is φ = 3572061696000.

The previous prime is 10111222011019. The next prime is 10111222011097. The reversal of 10111222011020 is 2011022211101.

It is a super-2 number, since 2×10111222011020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111222010986 and 10111222011004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34509289994 + ... + 34509290286.

It is an arithmetic number, because the mean of its divisors is an integer number (62209026432).

Almost surely, 2^{10111222011020} is an apocalyptic number.

10111222011020 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 10111222011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944133074944).

10111222011020 is an abundant number, since it is smaller than the sum of its proper divisors (13777044138868).

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

10111222011020 is a wasteful number, since it uses less digits than its factorization.

10111222011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111222011020 its reverse (2011022211101), we get a palindrome (12122244222121).

The spelling of 10111222011020 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, eleven thousand, twenty".