212001120101100 has 288 divisors, whose sum is σ = 675843185267712. Its totient is φ = 50880441600000.

The previous prime is 212001120101083. The next prime is 212001120101101. The reversal of 212001120101100 is 1101021100212.

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

It is not an unprimeable number, because it can be changed into a prime (212001120101101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4391869965 + ... + 4391918235.

It is an arithmetic number, because the mean of its divisors is an integer number (2346677726624).

Almost surely, 2^{212001120101100} is an apocalyptic number.

212001120101100 is a gapful number since it is divisible by the number (20) 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 212001120101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337921592633856).

212001120101100 is an abundant number, since it is smaller than the sum of its proper divisors (463842065166612).

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

212001120101100 is a wasteful number, since it uses less digits than its factorization.

212001120101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61577 (or 61570 counting only the distinct ones).

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

Adding to 212001120101100 its reverse (1101021100212), we get a palindrome (213102141201312).

It can be divided in two parts, 2120011 and 20101100, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 212001120101100 in words is "two hundred twelve trillion, one billion, one hundred twenty million, one hundred one thousand, one hundred".