101212618729 has 16 divisors (see below), whose sum is σ = 105228864000. Its totient is φ = 97232022720.

The previous prime is 101212618721. The next prime is 101212618763. The reversal of 101212618729 is 927816212101.

It is a cyclic number.

It is not a de Polignac number, because 101212618729 - 2³ = 101212618721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212618691 and 101212618700.

It is not an unprimeable number, because it can be changed into a prime (101212618721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12474384 + ... + 12482494.

It is an arithmetic number, because the mean of its divisors is an integer number (6576804000).

Almost surely, 2^101212618729 is an apocalyptic number.

It is an amenable number.

101212618729 is a deficient number, since it is larger than the sum of its proper divisors (4016245271).

101212618729 is a wasteful number, since it uses less digits than its factorization.

101212618729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248.

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 101212618729 in words is "one hundred one billion, two hundred twelve million, six hundred eighteen thousand, seven hundred twenty-nine".