100112222010101 has 64 divisors (see below), whose sum is σ = 120261785419776. Its totient is φ = 81481606430400.

The previous prime is 100112222010067. The next prime is 100112222010133. The reversal of 100112222010101 is 101010222211001.

It is a cyclic number.

It is not a de Polignac number, because 100112222010101 - 2¹⁰ = 100112222009077 is a prime.

It is a super-2 number, since 2×100112222010101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112222010001) 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, 25236252620 + ... + 25236256586.

It is an arithmetic number, because the mean of its divisors is an integer number (1879090397184).

Almost surely, 2^{100112222010101} is an apocalyptic number.

It is an amenable number.

100112222010101 is a deficient number, since it is larger than the sum of its proper divisors (20149563409675).

100112222010101 is a wasteful number, since it uses less digits than its factorization.

100112222010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112222010101 its reverse (101010222211001), we get a palindrome (201122444221102).

The spelling of 100112222010101 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, ten thousand, one hundred one".