101010001010166 has 48 divisors (see below), whose sum is σ = 221660186233200. Its totient is φ = 33240663883584.

The previous prime is 101010001010099. The next prime is 101010001010167. The reversal of 101010001010166 is 661010100010101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010001010167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92386456 + ... + 93473403.

It is an arithmetic number, because the mean of its divisors is an integer number (4617920546525).

Almost surely, 2^{101010001010166} is an apocalyptic number.

101010001010166 is an abundant number, since it is smaller than the sum of its proper divisors (120650185223034).

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

101010001010166 is a wasteful number, since it uses less digits than its factorization.

101010001010166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185860253 (or 185860250 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101010001010166 its reverse (661010100010101), we get a palindrome (762020101020267).

It can be divided in two parts, 1010100010101 and 66, that multiplied together give a palindrome (66666600666666).

The spelling of 101010001010166 in words is "one hundred one trillion, ten billion, one million, ten thousand, one hundred sixty-six".