10021210101001 has 16 divisors (see below), whose sum is σ = 11788283102400. Its totient is φ = 8420202201600.

The previous prime is 10021210100911. The next prime is 10021210101011. The reversal of 10021210101001 is 10010101212001.

It is a cyclic number.

It is not a de Polignac number, because 10021210101001 - 2⁷ = 10021210100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021210101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584727696 + ... + 584744833.

It is an arithmetic number, because the mean of its divisors is an integer number (736767693900).

Almost surely, 2^{10021210101001} is an apocalyptic number.

10021210101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021210101001 is a deficient number, since it is larger than the sum of its proper divisors (1767073001399).

10021210101001 is a wasteful number, since it uses less digits than its factorization.

10021210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169472600.

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

Adding to 10021210101001 its reverse (10010101212001), we get a palindrome (20031311313002).

The spelling of 10021210101001 in words is "ten trillion, twenty-one billion, two hundred ten million, one hundred one thousand, one".