101001001022021 has 8 divisors (see below), whose sum is σ = 101101246652280. Its totient is φ = 100900766167488.

The previous prime is 101001001021957. The next prime is 101001001022027. The reversal of 101001001022021 is 120220100100101.

It can be written as a sum of positive squares in 4 ways, for example, as 8502501969025 + 92498499052996 = 2915905^2 + 9617614^2 .

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 101001001022021 - 2⁶ = 101001001021957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001001021993 and 101001001022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001022027) 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, 16126595 + ... + 21495791.

It is an arithmetic number, because the mean of its divisors is an integer number (12637655831535).

Almost surely, 2^{101001001022021} is an apocalyptic number.

It is an amenable number.

101001001022021 is a deficient number, since it is larger than the sum of its proper divisors (100245630259).

101001001022021 is a wasteful number, since it uses less digits than its factorization.

101001001022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387863.

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

Adding to 101001001022021 its reverse (120220100100101), we get a palindrome (221221101122122).

The spelling of 101001001022021 in words is "one hundred one trillion, one billion, one million, twenty-two thousand, twenty-one".