2134214011100 has 72 divisors (see below), whose sum is σ = 4681311970608. Its totient is φ = 844465305600.

The previous prime is 2134214011087. The next prime is 2134214011159. The reversal of 2134214011100 is 11104124312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19860515 + ... + 19967685.

It is an arithmetic number, because the mean of its divisors is an integer number (65018221814).

Almost surely, 2^{2134214011100} is an apocalyptic number.

2134214011100 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 2134214011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340655985304).

2134214011100 is an abundant number, since it is smaller than the sum of its proper divisors (2547097959508).

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

2134214011100 is a wasteful number, since it uses less digits than its factorization.

2134214011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109335 (or 109328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2134214011100 its reverse (11104124312), we get a palindrome (2145318135412).

The spelling of 2134214011100 in words is "two trillion, one hundred thirty-four billion, two hundred fourteen million, eleven thousand, one hundred".