211212222010000 has 100 divisors (see below), whose sum is σ = 523838251010844. Its totient is φ = 82424281600000.

The previous prime is 211212222009991. The next prime is 211212222010093. The reversal of 211212222010000 is 10222212112.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 196822156366224 + 14390065643776 = 14029332^2 + 3793424^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×211212222010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257165881 + ... + 257985880.

Almost surely, 2^{211212222010000} is an apocalyptic number.

211212222010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212222010000 is an abundant number, since it is smaller than the sum of its proper divisors (312626029000844).

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

211212222010000 is an equidigital number, since it uses as much as digits as its factorization.

211212222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515151830 (or 515151809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211212222010000 its reverse (10222212112), we get a palindrome (211222444222112).

The spelling of 211212222010000 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-two million, ten thousand".