101001000122021 has 8 divisors (see below), whose sum is σ = 103406073604824. Its totient is φ = 98620098232320.

The previous prime is 101001000121963. The next prime is 101001000122023. The reversal of 101001000122021 is 120221000100101.

It can be written as a sum of positive squares in 4 ways, for example, as 2749013740225 + 98251986381796 = 1658015^2 + 9912214^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001000122021 - 2²² = 101000995927717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101001000121993 and 101001000122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000122023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6042889820 + ... + 6042906533.

It is an arithmetic number, because the mean of its divisors is an integer number (12925759200603).

Almost surely, 2^{101001000122021} is an apocalyptic number.

It is an amenable number.

101001000122021 is a deficient number, since it is larger than the sum of its proper divisors (2405073482803).

101001000122021 is a wasteful number, since it uses less digits than its factorization.

101001000122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085796551.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101001000122021 its reverse (120221000100101), we get a palindrome (221222000222122).

The spelling of 101001000122021 in words is "one hundred one trillion, one billion, one hundred twenty-two thousand, twenty-one".