212001011122101 has 16 divisors (see below), whose sum is σ = 289327037398080. Its totient is φ = 138006435853440.

The previous prime is 212001011122079. The next prime is 212001011122111. The reversal of 212001011122101 is 101221110100212.

It is a happy number.

It is not a de Polignac number, because 212001011122101 - 2⁷ = 212001011121973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001011122111) 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, 242026480 + ... + 242900841.

It is an arithmetic number, because the mean of its divisors is an integer number (18082939837380).

Almost surely, 2^{212001011122101} is an apocalyptic number.

It is an amenable number.

212001011122101 is a deficient number, since it is larger than the sum of its proper divisors (77326026275979).

212001011122101 is a wasteful number, since it uses less digits than its factorization.

212001011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484930756.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212001011122101 its reverse (101221110100212), we get a palindrome (313222121222313).

The spelling of 212001011122101 in words is "two hundred twelve trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred one".