10002120121010 has 32 divisors (see below), whose sum is σ = 19775358783360. Its totient is φ = 3625482440448.

The previous prime is 10002120121001. The next prime is 10002120121121. The reversal of 10002120121010 is 1012102120001.

It is a super-2 number, since 2×10002120121010² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002120120982 and 10002120121000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144402967 + ... + 1144411706.

It is an arithmetic number, because the mean of its divisors is an integer number (617979961980).

Almost surely, 2^{10002120121010} is an apocalyptic number.

10002120121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002120121010 is a deficient number, since it is larger than the sum of its proper divisors (9773238662350).

10002120121010 is a wasteful number, since it uses less digits than its factorization.

10002120121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288814722.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002120121010 its reverse (1012102120001), we get a palindrome (11014222241011).

The spelling of 10002120121010 in words is "ten trillion, two billion, one hundred twenty million, one hundred twenty-one thousand, ten".