4200101001 has 48 divisors (see below), whose sum is σ = 6567500160. Its totient is φ = 2578625280.

The previous prime is 4200100969. The next prime is 4200101021. The reversal of 4200101001 is 1001010024.

It is a happy number.

4200101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4200101001 - 2⁵ = 4200100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (4200101021) 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, 2742606 + ... + 2744136.

It is an arithmetic number, because the mean of its divisors is an integer number (136822920).

Almost surely, 2^4200101001 is an apocalyptic number.

It is an amenable number.

4200101001 is a deficient number, since it is larger than the sum of its proper divisors (2367399159).

4200101001 is a wasteful number, since it uses less digits than its factorization.

4200101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4200101001 is about 64808.1862190264. The cubic root of 4200101001 is about 1613.4415790881.

Adding to 4200101001 its reverse (1001010024), we get a palindrome (5201111025).

The spelling of 4200101001 in words is "four billion, two hundred million, one hundred one thousand, one".