4211220401100 has 324 divisors, whose sum is σ = 13636468053936. Its totient is φ = 1086644782080.

The previous prime is 4211220401099. The next prime is 4211220401119. The reversal of 4211220401100 is 11040221124.

4211220401100 is a `hidden beast` number, since 42 + 1 + 1 + 220 + 401 + 1 + 0 + 0 = 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 107 ways as a sum of consecutive naturals, for example, 254185017 + ... + 254201583.

It is an arithmetic number, because the mean of its divisors is an integer number (42087864364).

Almost surely, 2^{4211220401100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211220401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818234026968).

4211220401100 is an abundant number, since it is smaller than the sum of its proper divisors (9425247652836).

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

4211220401100 is a wasteful number, since it uses less digits than its factorization.

4211220401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16786 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4211220401100 its reverse (11040221124), we get a palindrome (4222260622224).

The spelling of 4211220401100 in words is "four trillion, two hundred eleven billion, two hundred twenty million, four hundred one thousand, one hundred".