4102022100 has 144 divisors (see below), whose sum is σ = 13629127680. Its totient is φ = 942076800.

The previous prime is 4102022087. The next prime is 4102022107. The reversal of 4102022100 is 12202014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29989 + ... + 95411.

It is an arithmetic number, because the mean of its divisors is an integer number (94646720).

Almost surely, 2^4102022100 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 4102022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814563840).

4102022100 is an abundant number, since it is smaller than the sum of its proper divisors (9527105580).

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

4102022100 is a wasteful number, since it uses less digits than its factorization.

4102022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65470 (or 65463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4102022100 is about 64047.0303761228. The cubic root of 4102022100 is about 1600.7837436327.

Adding to 4102022100 its reverse (12202014), we get a palindrome (4114224114).

The spelling of 4102022100 in words is "four billion, one hundred two million, twenty-two thousand, one hundred".