4002010100 has 72 divisors (see below), whose sum is σ = 9779540736. Its totient is φ = 1408320000.

The previous prime is 4002010099. The next prime is 4002010139. The reversal of 4002010100 is 10102004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24581 + ... + 92780.

Almost surely, 2^4002010100 is an apocalyptic number.

It is an amenable number.

4002010100 is an abundant number, since it is smaller than the sum of its proper divisors (5777530636).

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

4002010100 is a wasteful number, since it uses less digits than its factorization.

4002010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117417 (or 117410 counting only the distinct ones).

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

The square root of 4002010100 is about 63261.4424432450. The cubic root of 4002010100 is about 1587.6669103442. Note that the first 3 decimals are identical.

Adding to 4002010100 its reverse (10102004), we get a palindrome (4012112104).

The spelling of 4002010100 in words is "four billion, two million, ten thousand, one hundred".