10111211100112 has 80 divisors (see below), whose sum is σ = 21576679160400. Its totient is φ = 4568757903360.

The previous prime is 10111211100097. The next prime is 10111211100143. The reversal of 10111211100112 is 21100111211101.

It can be written as a sum of positive squares in 8 ways, for example, as 1783923524496 + 8327287575616 = 1335636^2 + 2885704^2 .

It is a super-2 number, since 2×10111211100112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111211100092 and 10111211100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113287 + ... + 4968742.

It is an arithmetic number, because the mean of its divisors is an integer number (269708489505).

Almost surely, 2^{10111211100112} is an apocalyptic number.

It is an amenable number.

10111211100112 is an abundant number, since it is smaller than the sum of its proper divisors (11465468060288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111211100112 is a wasteful number, since it uses less digits than its factorization.

10111211100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082264 (or 7082258 counting only the distinct ones).

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

Adding to 10111211100112 its reverse (21100111211101), we get a palindrome (31211322311213).

The spelling of 10111211100112 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one hundred thousand, one hundred twelve".