101412210141 has 64 divisors (see below), whose sum is σ = 165847968000. Its totient is φ = 60733981440.

The previous prime is 101412210139. The next prime is 101412210143. The reversal of 101412210141 is 141012214101.

101412210141 is a `hidden beast` number, since 1 + 0 + 1 + 412 + 210 + 1 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (101412210139) and next prime (101412210143).

It is not a de Polignac number, because 101412210141 - 2¹ = 101412210139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412210143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12589071 + ... + 12597123.

It is an arithmetic number, because the mean of its divisors is an integer number (2591374500).

Almost surely, 2^101412210141 is an apocalyptic number.

101412210141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101412210141 is a deficient number, since it is larger than the sum of its proper divisors (64435757859).

101412210141 is a wasteful number, since it uses less digits than its factorization.

101412210141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101412210141 its reverse (141012214101), we get a palindrome (242424424242).

The spelling of 101412210141 in words is "one hundred one billion, four hundred twelve million, two hundred ten thousand, one hundred forty-one".