100011002211112 has 8 divisors (see below), whose sum is σ = 187520629145850. Its totient is φ = 50005501105552.

The previous prime is 100011002211061. The next prime is 100011002211151. The reversal of 100011002211112 is 211112200110001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68296241335716 + 31714760875396 = 8264154^2 + 5631586^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100011002211092 and 100011002211101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6250687638187 + ... + 6250687638202.

Almost surely, 2^{100011002211112} is an apocalyptic number.

It is an amenable number.

100011002211112 is a deficient number, since it is larger than the sum of its proper divisors (87509626934738).

100011002211112 is a wasteful number, since it uses less digits than its factorization.

100011002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501375276395 (or 12501375276391 counting only the distinct ones).

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

Adding to 100011002211112 its reverse (211112200110001), we get a palindrome (311123202321113).

The spelling of 100011002211112 in words is "one hundred trillion, eleven billion, two million, two hundred eleven thousand, one hundred twelve".