1011101211112 has 8 divisors (see below), whose sum is σ = 1895814770850. Its totient is φ = 505550605552.

The previous prime is 1011101211097. The next prime is 1011101211121. The reversal of 1011101211112 is 2111121011101.

1011101211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 656044921156 + 355056289956 = 809966^2 + 595866^2 .

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

It is a super-2 number, since 2×1011101211112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011101211092 and 1011101211101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63193825687 + ... + 63193825702.

Almost surely, 2^{1011101211112} is an apocalyptic number.

It is an amenable number.

1011101211112 is a deficient number, since it is larger than the sum of its proper divisors (884713559738).

1011101211112 is a wasteful number, since it uses less digits than its factorization.

1011101211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126387651395 (or 126387651391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011101211112 its reverse (2111121011101), we get a palindrome (3122222222213).

It can be divided in two parts, 1011101 and 211112, that multiplied together give a palindrome (213455554312).

The spelling of 1011101211112 in words is "one trillion, eleven billion, one hundred one million, two hundred eleven thousand, one hundred twelve".