2072091031100 has 72 divisors (see below), whose sum is σ = 4621641227280. Its totient is φ = 805793080320.

The previous prime is 2072091031081. The next prime is 2072091031141. The reversal of 2072091031100 is 11301902702.

It is a super-2 number, since 2×2072091031100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2072091031100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435892 + ... + 4880708.

It is an arithmetic number, because the mean of its divisors is an integer number (64189461490).

Almost surely, 2^{2072091031100} is an apocalyptic number.

2072091031100 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 2072091031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310820613640).

2072091031100 is an abundant number, since it is smaller than the sum of its proper divisors (2549550196180).

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

2072091031100 is a wasteful number, since it uses less digits than its factorization.

2072091031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446127 (or 446120 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 2072091031100 its reverse (11301902702), we get a palindrome (2083392933802).

The spelling of 2072091031100 in words is "two trillion, seventy-two billion, ninety-one million, thirty-one thousand, one hundred".