10211141200 has 120 divisors (see below), whose sum is σ = 27034359968. Its totient is φ = 3682506240.

The previous prime is 10211141197. The next prime is 10211141207. The reversal of 10211141200 is 214111201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211141207) 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, 200767 + ... + 246433.

Almost surely, 2^10211141200 is an apocalyptic number.

10211141200 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 10211141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517179984).

10211141200 is an abundant number, since it is smaller than the sum of its proper divisors (16823218768).

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

10211141200 is a wasteful number, since it uses less digits than its factorization.

10211141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45741 (or 45730 counting only the distinct ones).

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

Adding to 10211141200 its reverse (214111201), we get a palindrome (10425252401).

The spelling of 10211141200 in words is "ten billion, two hundred eleven million, one hundred forty-one thousand, two hundred".