1001105101066 has 64 divisors (see below), whose sum is σ = 1878641786880. Its totient is φ = 390658403520.

The previous prime is 1001105101057. The next prime is 1001105101081. The reversal of 1001105101066 is 6601015011001.

It is a super-2 number, since 2×1001105101066² (a number of 25 digits) contains 22 as substring.

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, 91986 + ... + 1417981.

It is an arithmetic number, because the mean of its divisors is an integer number (29353777920).

Almost surely, 2^{1001105101066} is an apocalyptic number.

1001105101066 is a deficient number, since it is larger than the sum of its proper divisors (877536685814).

1001105101066 is a wasteful number, since it uses less digits than its factorization.

1001105101066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510099.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1001105101066 in words is "one trillion, one billion, one hundred five million, one hundred one thousand, sixty-six".