101111010000212 has 12 divisors (see below), whose sum is σ = 176944653040596. Its totient is φ = 50555394845760.

The previous prime is 101111010000113. The next prime is 101111010000239. The reversal of 101111010000212 is 212000010111101.

It can be written as a sum of positive squares in 2 ways, for example, as 100499542302916 + 611467697296 = 10024946^2 + 781964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101111010000193 and 101111010000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25455803 + ... + 29158530.

It is an arithmetic number, because the mean of its divisors is an integer number (14745387753383).

Almost surely, 2^{101111010000212} is an apocalyptic number.

It is an amenable number.

101111010000212 is a deficient number, since it is larger than the sum of its proper divisors (75833643040384).

101111010000212 is a wasteful number, since it uses less digits than its factorization.

101111010000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55077178 (or 55077176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111010000212 its reverse (212000010111101), we get a palindrome (313111020111313).

The spelling of 101111010000212 in words is "one hundred one trillion, one hundred eleven billion, ten million, two hundred twelve", and thus it is an aban number.