10010020210100 has 18 divisors (see below), whose sum is σ = 21721743856134. Its totient is φ = 4004008084000.

The previous prime is 10010020210067. The next prime is 10010020210121. The reversal of 10010020210100 is 101202001001.

10010020210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 615415146256 + 9394605063844 = 784484^2 + 3065062^2 .

It is a super-2 number, since 2×10010020210100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50050100951 + ... + 50050101150.

It is an arithmetic number, because the mean of its divisors is an integer number (1206763547563).

Almost surely, 2^{10010020210100} is an apocalyptic number.

10010020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010020210100 is an abundant number, since it is smaller than the sum of its proper divisors (11711723646034).

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

10010020210100 is a wasteful number, since it uses less digits than its factorization.

10010020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100100202115 (or 100100202108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010020210100 its reverse (101202001001), we get a palindrome (10111222211101).

The spelling of 10010020210100 in words is "ten trillion, ten billion, twenty million, two hundred ten thousand, one hundred".