10001002210120 has 64 divisors (see below), whose sum is σ = 23230616048640. Its totient is φ = 3870942048000.

The previous prime is 10001002210103. The next prime is 10001002210153. The reversal of 10001002210120 is 2101220010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001002210097 and 10001002210106.

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 15 ways as a sum of consecutive naturals, for example, 11307970 + ... + 12160270.

It is an arithmetic number, because the mean of its divisors is an integer number (362978375760).

Almost surely, 2^{10001002210120} is an apocalyptic number.

10001002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001002210120 is an abundant number, since it is smaller than the sum of its proper divisors (13229613838520).

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

10001002210120 is a wasteful number, since it uses less digits than its factorization.

10001002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861806 (or 861802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001002210120 its reverse (2101220010001), we get a palindrome (12102222220121).

The spelling of 10001002210120 in words is "ten trillion, one billion, two million, two hundred ten thousand, one hundred twenty".