10121120002010 has 16 divisors (see below), whose sum is σ = 18219080634696. Its totient is φ = 4048211416128.

The previous prime is 10121120001929. The next prime is 10121120002033. The reversal of 10121120002010 is 1020002112101.

It can be written as a sum of positive squares in 4 ways, for example, as 6908712604249 + 3212407397761 = 2628443^2 + 1792319^2 .

It is a super-3 number, since 3×10121120002010³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121120001982 and 10121120002000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29393357 + ... + 29735696.

Almost surely, 2^{10121120002010} is an apocalyptic number.

10121120002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121120002010 is a deficient number, since it is larger than the sum of its proper divisors (8097960632686).

10121120002010 is a wasteful number, since it uses less digits than its factorization.

10121120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59146177.

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

Adding to 10121120002010 its reverse (1020002112101), we get a palindrome (11141122114111).

The spelling of 10121120002010 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, ten".