10211033101120 has 112 divisors (see below), whose sum is σ = 24499631415168. Its totient is φ = 4053495674880.

The previous prime is 10211033101111. The next prime is 10211033101123. The reversal of 10211033101120 is 2110133011201.

It is a happy number.

It is a super-3 number, since 3×10211033101120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10211033101094 and 10211033101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211033101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28026039 + ... + 28388041.

It is an arithmetic number, because the mean of its divisors is an integer number (218746709064).

Almost surely, 2^{10211033101120} is an apocalyptic number.

10211033101120 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 10211033101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249815707584).

10211033101120 is an abundant number, since it is smaller than the sum of its proper divisors (14288598314048).

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

10211033101120 is a wasteful number, since it uses less digits than its factorization.

10211033101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362688 (or 362678 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10211033101120 its reverse (2110133011201), we get a palindrome (12321166112321).

The spelling of 10211033101120 in words is "ten trillion, two hundred eleven billion, thirty-three million, one hundred one thousand, one hundred twenty".