4003002020100 has 144 divisors (see below), whose sum is σ = 11619799563008. Its totient is φ = 1063990287360.

The previous prime is 4003002020089. The next prime is 4003002020123. The reversal of 4003002020100 is 10202003004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130133922 + ... + 130164678.

Almost surely, 2^{4003002020100} 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 4003002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809899781504).

4003002020100 is an abundant number, since it is smaller than the sum of its proper divisors (7616797542908).

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

4003002020100 is a wasteful number, since it uses less digits than its factorization.

4003002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32174 (or 32167 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 4003002020100 its reverse (10202003004), we get a palindrome (4013204023104).

The spelling of 4003002020100 in words is "four trillion, three billion, two million, twenty thousand, one hundred".