10021111012101 has 32 divisors (see below), whose sum is σ = 15942113998848. Its totient is φ = 5474653208640.

The previous prime is 10021111012097. The next prime is 10021111012153. The reversal of 10021111012101 is 10121011112001.

It is not a de Polignac number, because 10021111012101 - 2² = 10021111012097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021111010101) 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 31 ways as a sum of consecutive naturals, for example, 4187226 + ... + 6129851.

It is an arithmetic number, because the mean of its divisors is an integer number (498191062464).

Almost surely, 2^{10021111012101} is an apocalyptic number.

It is an amenable number.

10021111012101 is a deficient number, since it is larger than the sum of its proper divisors (5921002986747).

10021111012101 is a wasteful number, since it uses less digits than its factorization.

10021111012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319121.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10021111012101 its reverse (10121011112001), we get a palindrome (20142122124102).

The spelling of 10021111012101 in words is "ten trillion, twenty-one billion, one hundred eleven million, twelve thousand, one hundred one".