2150001667100 has 144 divisors (see below), whose sum is σ = 5649479535168. Its totient is φ = 693311631360.

The previous prime is 2150001667019. The next prime is 2150001667129. The reversal of 2150001667100 is 17661000512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17706194 + ... + 17827206.

It is an arithmetic number, because the mean of its divisors is an integer number (39232496772).

Almost surely, 2^{2150001667100} is an apocalyptic number.

2150001667100 is a gapful number since it is divisible by the number (20) 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 2150001667100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824739767584).

2150001667100 is an abundant number, since it is smaller than the sum of its proper divisors (3499477868068).

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

2150001667100 is a wasteful number, since it uses less digits than its factorization.

2150001667100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122544 (or 122537 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 2150001667100 its reverse (17661000512), we get a palindrome (2167662667612).

The spelling of 2150001667100 in words is "two trillion, one hundred fifty billion, one million, six hundred sixty-seven thousand, one hundred".