100402002000 has 240 divisors, whose sum is σ = 362764705680. Its totient is φ = 25850496000.

The previous prime is 100402001993. The next prime is 100402002017. The reversal of 100402002000 is 200204001.

It can be written as a sum of positive squares in 8 ways, for example, as 63855268416 + 36546733584 = 252696^2 + 191172^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425830 + ... + 618170.

It is an arithmetic number, because the mean of its divisors is an integer number (1511519607).

Almost surely, 2^100402002000 is an apocalyptic number.

100402002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100402002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181382352840).

100402002000 is an abundant number, since it is smaller than the sum of its proper divisors (262362703680).

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

100402002000 is a wasteful number, since it uses less digits than its factorization.

100402002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192399 (or 192380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100402002000 its reverse (200204001), we get a palindrome (100602206001).

The spelling of 100402002000 in words is "one hundred billion, four hundred two million, two thousand".