4100211122130 has 128 divisors (see below), whose sum is σ = 10983041372160. Its totient is φ = 1088485698240.

The previous prime is 4100211122123. The next prime is 4100211122167. The reversal of 4100211122130 is 312211120014.

4100211122130 is a `hidden beast` number, since 410 + 0 + 2 + 1 + 1 + 1 + 221 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56544157 + ... + 56616623.

It is an arithmetic number, because the mean of its divisors is an integer number (85805010720).

Almost surely, 2^{4100211122130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100211122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491520686080).

4100211122130 is an abundant number, since it is smaller than the sum of its proper divisors (6882830250030).

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

4100211122130 is a wasteful number, since it uses less digits than its factorization.

4100211122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73421 (or 73415 counting only the distinct ones).

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

Adding to 4100211122130 its reverse (312211120014), we get a palindrome (4412422242144).

The spelling of 4100211122130 in words is "four trillion, one hundred billion, two hundred eleven million, one hundred twenty-two thousand, one hundred thirty".