101021020111001 has 4 divisors (see below), whose sum is σ = 101145891582900. Its totient is φ = 100896148639104.

The previous prime is 101021020110977. The next prime is 101021020111003. The reversal of 101021020111001 is 100111020120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34231263861001 + 66789756250000 = 5850749^2 + 8172500^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021020111001 - 2¹⁸ = 101021019848857 is a prime.

It is a super-2 number, since 2×101021020111001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021020111003) 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 3 ways as a sum of consecutive naturals, for example, 62435734736 + ... + 62435736353.

It is an arithmetic number, because the mean of its divisors is an integer number (25286472895725).

Almost surely, 2^{101021020111001} is an apocalyptic number.

It is an amenable number.

101021020111001 is a deficient number, since it is larger than the sum of its proper divisors (124871471899).

101021020111001 is an equidigital number, since it uses as much as digits as its factorization.

101021020111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124871471898.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021020111001 its reverse (100111020120101), we get a palindrome (201132040231102).

The spelling of 101021020111001 in words is "one hundred one trillion, twenty-one billion, twenty million, one hundred eleven thousand, one".