101100100202211 has 32 divisors (see below), whose sum is σ = 148519066703616. Its totient is φ = 60662700080000.

The previous prime is 101100100202177. The next prime is 101100100202263. The reversal of 101100100202211 is 112202001001101.

It is a cyclic number.

It is not a de Polignac number, because 101100100202211 - 2²³ = 101100091813603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100100202711) 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, 58782985 + ... + 60478421.

It is an arithmetic number, because the mean of its divisors is an integer number (4641220834488).

Almost surely, 2^{101100100202211} is an apocalyptic number.

101100100202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100100202211 is a deficient number, since it is larger than the sum of its proper divisors (47418966501405).

101100100202211 is a wasteful number, since it uses less digits than its factorization.

101100100202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713443.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100100202211 its reverse (112202001001101), we get a palindrome (213302101203312).

The spelling of 101100100202211 in words is "one hundred one trillion, one hundred billion, one hundred million, two hundred two thousand, two hundred eleven".