212210010201120 has 96 divisors (see below), whose sum is σ = 668481385336128. Its totient is φ = 56587655359488.

The previous prime is 212210010201071. The next prime is 212210010201121. The reversal of 212210010201120 is 21102010012212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212210010201120.

It is not an unprimeable number, because it can be changed into a prime (212210010201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9655027 + ... + 22751693.

It is an arithmetic number, because the mean of its divisors is an integer number (6963347763918).

Almost surely, 2^{212210010201120} is an apocalyptic number.

212210010201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210010201120 is an abundant number, since it is smaller than the sum of its proper divisors (456271375135008).

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

212210010201120 is a wasteful number, since it uses less digits than its factorization.

212210010201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130442 (or 13130434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212210010201120 its reverse (21102010012212), we get a palindrome (233312020213332).

The spelling of 212210010201120 in words is "two hundred twelve trillion, two hundred ten billion, ten million, two hundred one thousand, one hundred twenty".