10211022011200 has 168 divisors, whose sum is σ = 27000537872832. Its totient is φ = 3786773422080.

The previous prime is 10211022011191. The next prime is 10211022011209. The reversal of 10211022011200 is 211022011201.

It is an interprime number because it is at equal distance from previous prime (10211022011191) and next prime (10211022011209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211022011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979132 + ... + 4623931.

Almost surely, 2^{10211022011200} is an apocalyptic number.

10211022011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211022011200 is an abundant number, since it is smaller than the sum of its proper divisors (16789515861632).

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

10211022011200 is a wasteful number, since it uses less digits than its factorization.

10211022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603169 (or 5603154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211022011200 its reverse (211022011201), we get a palindrome (10422044022401).

Subtracting from 10211022011200 its reverse (211022011201), we obtain a palindrome (9999999999999).

The spelling of 10211022011200 in words is "ten trillion, two hundred eleven billion, twenty-two million, eleven thousand, two hundred".