101011011099966 has 64 divisors (see below), whose sum is σ = 244968610348800. Its totient is φ = 30597718312800.

The previous prime is 101011011099953. The next prime is 101011011099983. The reversal of 101011011099966 is 669990110110101.

It is a super-2 number, since 2×101011011099966² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30883456 + ... + 33997203.

It is an arithmetic number, because the mean of its divisors is an integer number (3827634536700).

Almost surely, 2^{101011011099966} is an apocalyptic number.

101011011099966 is an abundant number, since it is smaller than the sum of its proper divisors (143957599248834).

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

101011011099966 is a wasteful number, since it uses less digits than its factorization.

101011011099966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64883302 (or 64883296 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 45.

The spelling of 101011011099966 in words is "one hundred one trillion, eleven billion, eleven million, ninety-nine thousand, nine hundred sixty-six".