212001121001100 has 72 divisors (see below), whose sum is σ = 645673589592640. Its totient is φ = 53558177935680.

The previous prime is 212001121001093. The next prime is 212001121001141. The reversal of 212001121001100 is 1100121100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 18596583862 + ... + 18596595261.

Almost surely, 2^{212001121001100} is an apocalyptic number.

212001121001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001121001100 is an abundant number, since it is smaller than the sum of its proper divisors (433672468591540).

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

212001121001100 is a wasteful number, since it uses less digits than its factorization.

212001121001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37193179159 (or 37193179152 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212001121001100 its reverse (1100121100212), we get a palindrome (213101242101312).

The spelling of 212001121001100 in words is "two hundred twelve trillion, one billion, one hundred twenty-one million, one thousand, one hundred".