212101011201101 has 64 divisors (see below), whose sum is σ = 252697555353600. Its totient is φ = 175858760985600.

The previous prime is 212101011200989. The next prime is 212101011201133. The reversal of 212101011201101 is 101102110101212.

It is a de Polignac number, because none of the positive numbers 2^k-212101011201101 is a prime.

It is a super-2 number, since 2×212101011201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101011201301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5537432516 + ... + 5537470818.

It is an arithmetic number, because the mean of its divisors is an integer number (3948399302400).

Almost surely, 2^{212101011201101} is an apocalyptic number.

It is an amenable number.

212101011201101 is a deficient number, since it is larger than the sum of its proper divisors (40596544152499).

212101011201101 is a wasteful number, since it uses less digits than its factorization.

212101011201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45530.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212101011201101 its reverse (101102110101212), we get a palindrome (313203121302313).

The spelling of 212101011201101 in words is "two hundred twelve trillion, one hundred one billion, eleven million, two hundred one thousand, one hundred one".