101000112211 has 16 divisors (see below), whose sum is σ = 104874650496. Its totient is φ = 97200000000.

The previous prime is 101000112203. The next prime is 101000112229. The reversal of 101000112211 is 112211000101.

It is a 10-Lehmer number, since φ(101000112211) divides (101000112211-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 101000112211 - 2³ = 101000112203 is a prime.

It is a Duffinian number.

101000112211 is a modest number, since divided by 112211 gives 1010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000112271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077211 + ... + 1167211.

It is an arithmetic number, because the mean of its divisors is an integer number (6554665656).

Almost surely, 2^101000112211 is an apocalyptic number.

101000112211 is a deficient number, since it is larger than the sum of its proper divisors (3874538285).

101000112211 is a wasteful number, since it uses less digits than its factorization.

101000112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90414.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000112211 its reverse (112211000101), we get a palindrome (213211112312).

The spelling of 101000112211 in words is "one hundred one billion, one hundred twelve thousand, two hundred eleven".