10211214124200 has 96 divisors (see below), whose sum is σ = 31660873797600. Its totient is φ = 2722464840960.

The previous prime is 10211214124091. The next prime is 10211214124249. The reversal of 10211214124200 is 242141211201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473519 + ... + 4753281.

It is an arithmetic number, because the mean of its divisors is an integer number (329800768725).

Almost surely, 2^{10211214124200} is an apocalyptic number.

10211214124200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211214124200 is an abundant number, since it is smaller than the sum of its proper divisors (21449659673400).

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

10211214124200 is a wasteful number, since it uses less digits than its factorization.

10211214124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284971 (or 3284962 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10211214124200 its reverse (242141211201), we get a palindrome (10453355335401).

The spelling of 10211214124200 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, one hundred twenty-four thousand, two hundred".