100001022111112 has 8 divisors (see below), whose sum is σ = 187501916458350. Its totient is φ = 50000511055552.

The previous prime is 100001022111079. The next prime is 100001022111119. The reversal of 100001022111112 is 211111220100001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90359587246756 + 9641434864356 = 9505766^2 + 3105066^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×100001022111112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001022111092 and 100001022111101.

It is not an unprimeable number, because it can be changed into a prime (100001022111119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6250063881937 + ... + 6250063881952.

Almost surely, 2^{100001022111112} is an apocalyptic number.

It is an amenable number.

100001022111112 is a deficient number, since it is larger than the sum of its proper divisors (87500894347238).

100001022111112 is a wasteful number, since it uses less digits than its factorization.

100001022111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500127763895 (or 12500127763891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100001022111112 its reverse (211111220100001), we get a palindrome (311112242211113).

The spelling of 100001022111112 in words is "one hundred trillion, one billion, twenty-two million, one hundred eleven thousand, one hundred twelve".