10101166200 has 72 divisors (see below), whose sum is σ = 33923089200. Its totient is φ = 2693643840.

The previous prime is 10101166189. The next prime is 10101166211. The reversal of 10101166200 is 266110101.

10101166200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 662 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10101166189) and next prime (10101166211).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2804080 + ... + 2807679.

Almost surely, 2^10101166200 is an apocalyptic number.

10101166200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101166200 is an abundant number, since it is smaller than the sum of its proper divisors (23821923000).

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

10101166200 is a wasteful number, since it uses less digits than its factorization.

10101166200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611781 (or 5611769 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10101166200 its reverse (266110101), we get a palindrome (10367276301).

The spelling of 10101166200 in words is "ten billion, one hundred one million, one hundred sixty-six thousand, two hundred".