10217166100 has 36 divisors (see below), whose sum is σ = 22218827904. Its totient is φ = 4078096480.

The previous prime is 10217166097. The next prime is 10217166109. The reversal of 10217166100 is 166171201.

It is a happy number.

It is a super-3 number, since 3×10217166100³ (a number of 31 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217166109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62692 + ... + 156091.

It is an arithmetic number, because the mean of its divisors is an integer number (617189664).

Almost surely, 2^10217166100 is an apocalyptic number.

10217166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217166100 is an abundant number, since it is smaller than the sum of its proper divisors (12001661804).

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

10217166100 is a wasteful number, since it uses less digits than its factorization.

10217166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219264 (or 219257 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 10217166100 in words is "ten billion, two hundred seventeen million, one hundred sixty-six thousand, one hundred".