10211121120200 has 768 divisors, whose sum is σ = 32469801799680. Its totient is φ = 2883340800000.

The previous prime is 10211121120173. The next prime is 10211121120209. The reversal of 10211121120200 is 202112111201.

10211121120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10211121120209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9904093685 + ... + 9904094715.

It is an arithmetic number, because the mean of its divisors is an integer number (42278387760).

Almost surely, 2^{10211121120200} is an apocalyptic number.

10211121120200 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 10211121120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234900899840).

10211121120200 is an abundant number, since it is smaller than the sum of its proper divisors (22258680679480).

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

10211121120200 is a wasteful number, since it uses less digits than its factorization.

10211121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1941 counting only the distinct ones).

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

Adding to 10211121120200 its reverse (202112111201), we get a palindrome (10413233231401).

The spelling of 10211121120200 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".