101404214331012 has 18 divisors (see below), whose sum is σ = 256327319559038. Its totient is φ = 33801404776992.

The previous prime is 101404214330971. The next prime is 101404214331067. The reversal of 101404214331012 is 210133412404101.

It is a happy number.

101404214331012 is a `hidden beast` number, since 1 + 0 + 1 + 404 + 214 + 3 + 31 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99760423664196 + 1643790666816 = 9988014^2 + 1282104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1408391865673 + ... + 1408391865744.

Almost surely, 2^{101404214331012} is an apocalyptic number.

101404214331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101404214331012 is an abundant number, since it is smaller than the sum of its proper divisors (154923105228026).

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

101404214331012 is a wasteful number, since it uses less digits than its factorization.

101404214331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816783731427 (or 2816783731422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101404214331012 its reverse (210133412404101), we get a palindrome (311537626735113).

The spelling of 101404214331012 in words is "one hundred one trillion, four hundred four billion, two hundred fourteen million, three hundred thirty-one thousand, twelve".