1011167166100 has 144 divisors (see below), whose sum is σ = 2727335189376. Its totient is φ = 316848960000.

The previous prime is 1011167166073. The next prime is 1011167166101. The reversal of 1011167166100 is 16617611101.

It is a super-3 number, since 3×1011167166100³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011167166101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369015 + ... + 1469185.

It is an arithmetic number, because the mean of its divisors is an integer number (18939827704).

Almost surely, 2^{1011167166100} is an apocalyptic number.

1011167166100 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 1011167166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363667594688).

1011167166100 is an abundant number, since it is smaller than the sum of its proper divisors (1716168023276).

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

1011167166100 is a wasteful number, since it uses less digits than its factorization.

1011167166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100306 (or 1100299 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 1011167166100 in words is "one trillion, eleven billion, one hundred sixty-seven million, one hundred sixty-six thousand, one hundred".