101112211101 has 64 divisors (see below), whose sum is σ = 154372055040. Its totient is φ = 58306080000.

The previous prime is 101112211027. The next prime is 101112211117.

101112211101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101112211101 - 2¹⁰ = 101112210077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112211301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21552166 + ... + 21556856.

It is an arithmetic number, because the mean of its divisors is an integer number (2412063360).

Almost surely, 2^101112211101 is an apocalyptic number.

101112211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112211101 is a deficient number, since it is larger than the sum of its proper divisors (53259843939).

101112211101 is a wasteful number, since it uses less digits than its factorization.

101112211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058.

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

It can be divided in two parts, 101112 and 211101, that multiplied together give a palindrome (21344844312).

The spelling of 101112211101 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred one".