101112121201012 has 12 divisors (see below), whose sum is σ = 177026169736836. Its totient is φ = 50533215561920.

The previous prime is 101112121200991. The next prime is 101112121201073. The reversal of 101112121201012 is 210102121211101.

It can be written as a sum of positive squares in 2 ways, for example, as 94969039982436 + 6143081218576 = 9745206^2 + 2478524^2 .

It is a super-3 number, since 3×101112121201012³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5711249689 + ... + 5711267392.

It is an arithmetic number, because the mean of its divisors is an integer number (14752180811403).

Almost surely, 2^{101112121201012} is an apocalyptic number.

It is an amenable number.

101112121201012 is a deficient number, since it is larger than the sum of its proper divisors (75914048535824).

101112121201012 is a wasteful number, since it uses less digits than its factorization.

101112121201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422519298 (or 11422519296 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101112121201012 its reverse (210102121211101), we get a palindrome (311214242412113).

The spelling of 101112121201012 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one thousand, twelve".