2011014314100 has 432 divisors, whose sum is σ = 6961990404096. Its totient is φ = 481482528000.

The previous prime is 2011014314093. The next prime is 2011014314119. The reversal of 2011014314100 is 14134101102.

2011014314100 is a `hidden beast` number, since 2 + 0 + 110 + 143 + 1 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367574365 + ... + 367579835.

It is an arithmetic number, because the mean of its divisors is an integer number (16115718528).

Almost surely, 2^{2011014314100} is an apocalyptic number.

2011014314100 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 2011014314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480995202048).

2011014314100 is an abundant number, since it is smaller than the sum of its proper divisors (4950976089996).

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

2011014314100 is a wasteful number, since it uses less digits than its factorization.

2011014314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2011014314100 its reverse (14134101102), we get a palindrome (2025148415202).

The spelling of 2011014314100 in words is "two trillion, eleven billion, fourteen million, three hundred fourteen thousand, one hundred".