10001002122010 has 32 divisors (see below), whose sum is σ = 18248126420160. Its totient is φ = 3945818226048.

The previous prime is 10001002121983. The next prime is 10001002122017. The reversal of 10001002122010 is 1022120010001.

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

It is not an unprimeable number, because it can be changed into a prime (10001002122017) by changing a digit.

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, 9219187 + ... + 10246726.

It is an arithmetic number, because the mean of its divisors is an integer number (570253950630).

Almost surely, 2^{10001002122010} is an apocalyptic number.

10001002122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001002122010 is a deficient number, since it is larger than the sum of its proper divisors (8247124298150).

10001002122010 is a wasteful number, since it uses less digits than its factorization.

10001002122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19466622.

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

Adding to 10001002122010 its reverse (1022120010001), we get a palindrome (11023122132011).

The spelling of 10001002122010 in words is "ten trillion, one billion, two million, one hundred twenty-two thousand, ten".