101220021001021 has 12 divisors (see below), whose sum is σ = 116052471001332. Its totient is φ = 87937755799296.

The previous prime is 101220021001019. The next prime is 101220021001091. The reversal of 101220021001021 is 120100120022101.

It can be written as a sum of positive squares in 6 ways, for example, as 2948209191225 + 98271811809796 = 1717035^2 + 9913214^2 .

It is not a de Polignac number, because 101220021001021 - 2¹ = 101220021001019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220021000992 and 101220021001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220021001091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17615733466 + ... + 17615739211.

It is an arithmetic number, because the mean of its divisors is an integer number (9671039250111).

Almost surely, 2^{101220021001021} is an apocalyptic number.

It is an amenable number.

101220021001021 is a deficient number, since it is larger than the sum of its proper divisors (14832450000311).

101220021001021 is a wasteful number, since it uses less digits than its factorization.

101220021001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35231472720 (or 35231472707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101220021001021 its reverse (120100120022101), we get a palindrome (221320141023122).

The spelling of 101220021001021 in words is "one hundred one trillion, two hundred twenty billion, twenty-one million, one thousand, twenty-one".