10211122200312 has 288 divisors, whose sum is σ = 30499964586000. Its totient is φ = 3083898470400.

The previous prime is 10211122200299. The next prime is 10211122200319. The reversal of 10211122200312 is 21300222111201.

10211122200312 is a `hidden beast` number, since 1 + 0 + 21 + 112 + 220 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211122200319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3959332639 + ... + 3959335217.

Almost surely, 2^{10211122200312} is an apocalyptic number.

10211122200312 is a gapful number since it is divisible by the number (12) 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 10211122200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249982293000).

10211122200312 is an abundant number, since it is smaller than the sum of its proper divisors (20288842385688).

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

10211122200312 is a wasteful number, since it uses less digits than its factorization.

10211122200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211122200312 its reverse (21300222111201), we get a palindrome (31511344311513).

The spelling of 10211122200312 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thousand, three hundred twelve".