101100021112211 has 32 divisors (see below), whose sum is σ = 114150477830400. Its totient is φ = 88695969040000.

The previous prime is 101100021112199. The next prime is 101100021112249. The reversal of 101100021112211 is 112211120001101.

It is a cyclic number.

It is not a de Polignac number, because 101100021112211 - 2³⁰ = 101098947370387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100021112261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7374712025 + ... + 7374725733.

It is an arithmetic number, because the mean of its divisors is an integer number (3567202432200).

Almost surely, 2^{101100021112211} is an apocalyptic number.

101100021112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100021112211 is a deficient number, since it is larger than the sum of its proper divisors (13050456718189).

101100021112211 is a wasteful number, since it uses less digits than its factorization.

101100021112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23491.

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

Adding to 101100021112211 its reverse (112211120001101), we get a palindrome (213311141113312).

The spelling of 101100021112211 in words is "one hundred one trillion, one hundred billion, twenty-one million, one hundred twelve thousand, two hundred eleven".