101020202101021 has 64 divisors (see below), whose sum is σ = 124852018636800. Its totient is φ = 79818128476416.

The previous prime is 101020202101001. The next prime is 101020202101037. The reversal of 101020202101021 is 120101202020101.

It is a cyclic number.

It is not a de Polignac number, because 101020202101021 - 2²¹ = 101020200003869 is a prime.

It is a super-2 number, since 2×101020202101021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020202100992 and 101020202101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020202101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5257899211 + ... + 5257918423.

It is an arithmetic number, because the mean of its divisors is an integer number (1950812791200).

Almost surely, 2^{101020202101021} is an apocalyptic number.

It is an amenable number.

101020202101021 is a deficient number, since it is larger than the sum of its proper divisors (23831816535779).

101020202101021 is a wasteful number, since it uses less digits than its factorization.

101020202101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26498.

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

Adding to 101020202101021 its reverse (120101202020101), we get a palindrome (221121404121122).

The spelling of 101020202101021 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred one thousand, twenty-one".