2214020404100 has 144 divisors (see below), whose sum is σ = 5199805691136. Its totient is φ = 816045120000.

The previous prime is 2214020404097. The next prime is 2214020404159. The reversal of 2214020404100 is 14040204122.

It is a super-2 number, since 2×2214020404100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8466305 + ... + 8723895.

It is an arithmetic number, because the mean of its divisors is an integer number (36109761744).

Almost surely, 2^{2214020404100} is an apocalyptic number.

2214020404100 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 2214020404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599902845568).

2214020404100 is an abundant number, since it is smaller than the sum of its proper divisors (2985785287036).

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

2214020404100 is a wasteful number, since it uses less digits than its factorization.

2214020404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257766 (or 257759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2214020404100 its reverse (14040204122), we get a palindrome (2228060608222).

The spelling of 2214020404100 in words is "two trillion, two hundred fourteen billion, twenty million, four hundred four thousand, one hundred".