101212345000440 has 96 divisors (see below), whose sum is σ = 328952880874800. Its totient is φ = 26988911723520.

The previous prime is 101212345000363. The next prime is 101212345000499. The reversal of 101212345000440 is 44000543212101.

101212345000440 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 3 + 4 + 5 + 0 + 0 + 0 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862851 + ... + 14742669.

Almost surely, 2^{101212345000440} is an apocalyptic number.

101212345000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212345000440 is an abundant number, since it is smaller than the sum of its proper divisors (227740535874360).

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

101212345000440 is a wasteful number, since it uses less digits than its factorization.

101212345000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905677 (or 10905670 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101212345000440 its reverse (44000543212101), we get a palindrome (145212888212541).

The spelling of 101212345000440 in words is "one hundred one trillion, two hundred twelve billion, three hundred forty-five million, four hundred forty", and thus it is an aban number.