101202099966 has 96 divisors (see below), whose sum is σ = 252841754880. Its totient is φ = 28932422400.

The previous prime is 101202099949. The next prime is 101202099979. The reversal of 101202099966 is 669990202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850831 + ... + 962453.

It is an arithmetic number, because the mean of its divisors is an integer number (2633768280).

Almost surely, 2^101202099966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202099966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126420877440).

101202099966 is an abundant number, since it is smaller than the sum of its proper divisors (151639654914).

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

101202099966 is a wasteful number, since it uses less digits than its factorization.

101202099966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111902 (or 111899 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 101202099966 in words is "one hundred one billion, two hundred two million, ninety-nine thousand, nine hundred sixty-six".