101267166000 has 960 divisors, whose sum is σ = 441106338816. Its totient is φ = 19408896000.

The previous prime is 101267165999. The next prime is 101267166029. The reversal of 101267166000 is 661762101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78077352 + ... + 78078648.

Almost surely, 2^101267166000 is an apocalyptic number.

101267166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101267166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220553169408).

101267166000 is an abundant number, since it is smaller than the sum of its proper divisors (339839172816).

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

101267166000 is a wasteful number, since it uses less digits than its factorization.

101267166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 101267166000 in words is "one hundred one billion, two hundred sixty-seven million, one hundred sixty-six thousand".