101000010100012 has 24 divisors (see below), whose sum is σ = 179665156912752. Its totient is φ = 49667270318400.

The previous prime is 101000010099949. The next prime is 101000010100027. The reversal of 101000010100012 is 210001010000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000010099968 and 101000010100004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17777563 + ... + 22760530.

It is an arithmetic number, because the mean of its divisors is an integer number (7486048204698).

Almost surely, 2^{101000010100012} is an apocalyptic number.

It is an amenable number.

101000010100012 is a deficient number, since it is larger than the sum of its proper divisors (78665146812740).

101000010100012 is a wasteful number, since it uses less digits than its factorization.

101000010100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40548369 (or 40548367 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000010100012 its reverse (210001010000101), we get a palindrome (311001020100113).

The spelling of 101000010100012 in words is "one hundred one trillion, ten million, one hundred thousand, twelve".