101001010009966 has 32 divisors (see below), whose sum is σ = 165632160724992. Its totient is φ = 45810171082560.

The previous prime is 101001010009901. The next prime is 101001010009967. The reversal of 101001010009966 is 669900010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010009967) 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, 583137570 + ... + 583310746.

It is an arithmetic number, because the mean of its divisors is an integer number (5176005022656).

Almost surely, 2^{101001010009966} is an apocalyptic number.

101001010009966 is a deficient number, since it is larger than the sum of its proper divisors (64631150715026).

101001010009966 is a wasteful number, since it uses less digits than its factorization.

101001010009966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230424.

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 101001010009966 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred sixty-six".