101112112222011 has 72 divisors (see below), whose sum is σ = 163058485524480. Its totient is φ = 60321561300000.

The previous prime is 101112112221977. The next prime is 101112112222061. The reversal of 101112112222011 is 110222211211101.

It is a happy number.

It is not a de Polignac number, because 101112112222011 - 2⁶ = 101112112221947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112112222061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26700886 + ... + 30251636.

It is an arithmetic number, because the mean of its divisors is an integer number (2264701187840).

Almost surely, 2^{101112112222011} is an apocalyptic number.

101112112222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112112222011 is a deficient number, since it is larger than the sum of its proper divisors (61946373302469).

101112112222011 is a wasteful number, since it uses less digits than its factorization.

101112112222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551189 (or 3551175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112112222011 its reverse (110222211211101), we get a palindrome (211334323433112).

The spelling of 101112112222011 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, eleven".