2114213334100 has 108 divisors (see below), whose sum is σ = 5338078395804. Its totient is φ = 724710174720.

The previous prime is 2114213334091. The next prime is 2114213334119. The reversal of 2114213334100 is 14333124112.

It can be written as a sum of positive squares in 6 ways, for example, as 72509564176 + 2041703769924 = 269276^2 + 1428882^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22851534 + ... + 22943866.

It is an arithmetic number, because the mean of its divisors is an integer number (49426651813).

Almost surely, 2^{2114213334100} is an apocalyptic number.

2114213334100 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 2114213334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669039197902).

2114213334100 is an abundant number, since it is smaller than the sum of its proper divisors (3223865061704).

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

2114213334100 is a wasteful number, since it uses less digits than its factorization.

2114213334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97034 (or 97020 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2114213334100 its reverse (14333124112), we get a palindrome (2128546458212).

The spelling of 2114213334100 in words is "two trillion, one hundred fourteen billion, two hundred thirteen million, three hundred thirty-four thousand, one hundred".