10001022101010 has 96 divisors (see below), whose sum is σ = 27135143493120. Its totient is φ = 2550803359104.

The previous prime is 10001022101009. The next prime is 10001022101039. The reversal of 10001022101010 is 1010122010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001022100983 and 10001022101001.

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 47 ways as a sum of consecutive naturals, for example, 30137712 + ... + 30467748.

It is an arithmetic number, because the mean of its divisors is an integer number (282657744720).

Almost surely, 2^{10001022101010} is an apocalyptic number.

10001022101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001022101010 is an abundant number, since it is smaller than the sum of its proper divisors (17134121392110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001022101010 is a wasteful number, since it uses less digits than its factorization.

10001022101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344712 (or 344709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001022101010 its reverse (1010122010001), we get a palindrome (11011144111011).

The spelling of 10001022101010 in words is "ten trillion, one billion, twenty-two million, one hundred one thousand, ten".