101001121100211 has 16 divisors (see below), whose sum is σ = 134808302695680. Its totient is φ = 67264011615840.

The previous prime is 101001121100207. The next prime is 101001121100233. The reversal of 101001121100211 is 112001121100101.

It is not a de Polignac number, because 101001121100211 - 2² = 101001121100207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001161100211) 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 15 ways as a sum of consecutive naturals, for example, 507895746 + ... + 508094568.

It is an arithmetic number, because the mean of its divisors is an integer number (8425518918480).

Almost surely, 2^{101001121100211} is an apocalyptic number.

101001121100211 is a deficient number, since it is larger than the sum of its proper divisors (33807181595469).

101001121100211 is a wasteful number, since it uses less digits than its factorization.

101001121100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374186.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101001121100211 its reverse (112001121100101), we get a palindrome (213002242200312).

The spelling of 101001121100211 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred eleven".