10010002102100 has 1728 divisors, whose sum is σ = 32843577876480. Its totient is φ = 2564255232000.

The previous prime is 10010002102039. The next prime is 10010002102117. The reversal of 10010002102100 is 120120001001.

It is a super-3 number, since 3×10010002102100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34163829554 + ... + 34163829846.

It is an arithmetic number, because the mean of its divisors is an integer number (19006700160).

Almost surely, 2^{10010002102100} is an apocalyptic number.

10010002102100 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 10010002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16421788938240).

10010002102100 is an abundant number, since it is smaller than the sum of its proper divisors (22833575774380).

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

10010002102100 is a wasteful number, since it uses less digits than its factorization.

10010002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

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

Adding to 10010002102100 its reverse (120120001001), we get a palindrome (10130122103101).

The spelling of 10010002102100 in words is "ten trillion, ten billion, two million, one hundred two thousand, one hundred".