101121211100211 has 32 divisors (see below), whose sum is σ = 136121984248320. Its totient is φ = 66770366174976.

The previous prime is 101121211100183. The next prime is 101121211100233. The reversal of 101121211100211 is 112001112121101.

It is not a de Polignac number, because 101121211100211 - 2⁵ = 101121211100179 is a prime.

It is a super-2 number, since 2×101121211100211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121211100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372607855 + ... + 372879143.

It is an arithmetic number, because the mean of its divisors is an integer number (4253812007760).

Almost surely, 2^{101121211100211} is an apocalyptic number.

101121211100211 is a deficient number, since it is larger than the sum of its proper divisors (35000773148109).

101121211100211 is a wasteful number, since it uses less digits than its factorization.

101121211100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274123.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121211100211 its reverse (112001112121101), we get a palindrome (213122323221312).

The spelling of 101121211100211 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred thousand, two hundred eleven".