100202001020 has 192 divisors, whose sum is σ = 244734981120. Its totient is φ = 34104576000.

The previous prime is 100202001007. The next prime is 100202001047. The reversal of 100202001020 is 20100202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202000989 and 100202001007.

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 63 ways as a sum of consecutive naturals, for example, 45483239 + ... + 45485441.

It is an arithmetic number, because the mean of its divisors is an integer number (1274661360).

Almost surely, 2^100202001020 is an apocalyptic number.

100202001020 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 100202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122367490560).

100202001020 is an abundant number, since it is smaller than the sum of its proper divisors (144532980100).

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

100202001020 is a wasteful number, since it uses less digits than its factorization.

100202001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2434 counting only the distinct ones).

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

Adding to 100202001020 its reverse (20100202001), we get a palindrome (120302203021).

The spelling of 100202001020 in words is "one hundred billion, two hundred two million, one thousand, twenty".