101166010606110 has 32 divisors (see below), whose sum is σ = 242809673404320. Its totient is φ = 26976353056128.

The previous prime is 101166010606109. The next prime is 101166010606117. The reversal of 101166010606110 is 11606010661101.

It is a super-3 number, since 3×101166010606110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101166010606117) 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, 77452297 + ... + 78747636.

It is an arithmetic number, because the mean of its divisors is an integer number (7587802293885).

Almost surely, 2^{101166010606110} is an apocalyptic number.

101166010606110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101166010606110 is an abundant number, since it is smaller than the sum of its proper divisors (141643662798210).

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

101166010606110 is a wasteful number, since it uses less digits than its factorization.

101166010606110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156221532.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 101166010606110 in words is "one hundred one trillion, one hundred sixty-six billion, ten million, six hundred six thousand, one hundred ten".