2134100100 has 288 divisors, whose sum is σ = 7218288000. Its totient is φ = 481075200.

The previous prime is 2134100093. The next prime is 2134100119. The reversal of 2134100100 is 10014312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6114726 + ... + 6115074.

It is an arithmetic number, because the mean of its divisors is an integer number (25063500).

Almost surely, 2^2134100100 is an apocalyptic number.

2134100100 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 2134100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144000).

2134100100 is an abundant number, since it is smaller than the sum of its proper divisors (5084187900).

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

2134100100 is a wasteful number, since it uses less digits than its factorization.

2134100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2134100100 is about 46196.3212821108. The cubic root of 2134100100 is about 1287.4733912244.

Adding to 2134100100 its reverse (10014312), we get a palindrome (2144114412).

The spelling of 2134100100 in words is "two billion, one hundred thirty-four million, one hundred thousand, one hundred".