101111001002021 has 16 divisors (see below), whose sum is σ = 105139763823600. Its totient is φ = 97118489115648.

The previous prime is 101111001001993. The next prime is 101111001002023. The reversal of 101111001002021 is 120200100111101.

It can be written as a sum of positive squares in 8 ways, for example, as 17197816350625 + 83913184651396 = 4147025^2 + 9160414^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111001002021 - 2³⁸ = 100836123095077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001001993 and 101111001002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001002023) 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, 52836365 + ... + 54716573.

It is an arithmetic number, because the mean of its divisors is an integer number (6571235238975).

Almost surely, 2^{101111001002021} is an apocalyptic number.

It is an amenable number.

101111001002021 is a deficient number, since it is larger than the sum of its proper divisors (4028762821579).

101111001002021 is a wasteful number, since it uses less digits than its factorization.

101111001002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889848.

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

Adding to 101111001002021 its reverse (120200100111101), we get a palindrome (221311101113122).

The spelling of 101111001002021 in words is "one hundred one trillion, one hundred eleven billion, one million, two thousand, twenty-one".