10002122101010 has 32 divisors (see below), whose sum is σ = 19389583165680. Its totient is φ = 3692928538368.

The previous prime is 10002122100959. The next prime is 10002122101021. The reversal of 10002122101010 is 1010122120001.

It can be written as a sum of positive squares in 8 ways, for example, as 1193733241561 + 8808388859449 = 1092581^2 + 2967893^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002122100982 and 10002122101000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287536 + ... + 4654244.

Almost surely, 2^{10002122101010} is an apocalyptic number.

10002122101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002122101010 is a deficient number, since it is larger than the sum of its proper divisors (9387461064670).

10002122101010 is a wasteful number, since it uses less digits than its factorization.

10002122101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389582.

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

Adding to 10002122101010 its reverse (1010122120001), we get a palindrome (11012244221011).

The spelling of 10002122101010 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred one thousand, ten".