100011112010212 has 72 divisors (see below), whose sum is σ = 200546400867624. Its totient is φ = 43373325692928.

The previous prime is 100011112010207. The next prime is 100011112010219. The reversal of 100011112010212 is 212010211110001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44433102945856 + 55578009064356 = 6665816^2 + 7455066^2 .

It is a super-3 number, since 3×100011112010212³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100011112010192 and 100011112010201.

It is not an unprimeable number, because it can be changed into a prime (100011112010219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879258 + ... + 14665294.

It is an arithmetic number, because the mean of its divisors is an integer number (2785366678717).

Almost surely, 2^{100011112010212} is an apocalyptic number.

It is an amenable number.

100011112010212 is an abundant number, since it is smaller than the sum of its proper divisors (100535288857412).

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

100011112010212 is a wasteful number, since it uses less digits than its factorization.

100011112010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786705 (or 10786686 counting only the distinct ones).

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

Adding to 100011112010212 its reverse (212010211110001), we get a palindrome (312021323120213).

The spelling of 100011112010212 in words is "one hundred trillion, eleven billion, one hundred twelve million, ten thousand, two hundred twelve".