211221112202122 has 16 divisors (see below), whose sum is σ = 349798818896352. Its totient is φ = 94852854328720.

The previous prime is 211221112202117. The next prime is 211221112202131. The reversal of 211221112202122 is 221202211122112.

It is a super-2 number, since 2×211221112202122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211221112202093 and 211221112202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57837104473 + ... + 57837108124.

It is an arithmetic number, because the mean of its divisors is an integer number (21862426181022).

Almost surely, 2^{211221112202122} is an apocalyptic number.

211221112202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211221112202122 is a deficient number, since it is larger than the sum of its proper divisors (138577706694230).

211221112202122 is a wasteful number, since it uses less digits than its factorization.

211221112202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115674212693.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211221112202122 its reverse (221202211122112), we get a palindrome (432423323324234).

The spelling of 211221112202122 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twelve million, two hundred two thousand, one hundred twenty-two".