212100121210000 has 100 divisors (see below), whose sum is σ = 515156235994972. Its totient is φ = 84568992768000.

The previous prime is 212100121209989. The next prime is 212100121210031. The reversal of 212100121210000 is 12121001212.

It can be written as a sum of positive squares in 10 ways, for example, as 210446201751696 + 1653919458304 = 14506764^2 + 1286048^2 .

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

It is a super-2 number, since 2×212100121210000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30751809 + ... + 37011808.

Almost surely, 2^{212100121210000} is an apocalyptic number.

212100121210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100121210000 is an abundant number, since it is smaller than the sum of its proper divisors (303056114784972).

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

212100121210000 is an equidigital number, since it uses as much as digits as its factorization.

212100121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67763958 (or 67763937 counting only the distinct ones).

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

Adding to 212100121210000 its reverse (12121001212), we get a palindrome (212112242211212).

The spelling of 212100121210000 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, two hundred ten thousand".