10011122010010 has 64 divisors (see below), whose sum is σ = 19723757001984. Its totient is φ = 3628272563200.

The previous prime is 10011122010007. The next prime is 10011122010013. The reversal of 10011122010010 is 1001022111001.

It is an interprime number because it is at equal distance from previous prime (10011122010007) and next prime (10011122010013).

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 (10011122010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221506515 + ... + 221551705.

It is an arithmetic number, because the mean of its divisors is an integer number (308183703156).

Almost surely, 2^{10011122010010} is an apocalyptic number.

10011122010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011122010010 is a deficient number, since it is larger than the sum of its proper divisors (9712634991974).

10011122010010 is a wasteful number, since it uses less digits than its factorization.

10011122010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51879.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011122010010 its reverse (1001022111001), we get a palindrome (11012144121011).

The spelling of 10011122010010 in words is "ten trillion, eleven billion, one hundred twenty-two million, ten thousand, ten".