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221021020202101 = 7211339917106773
BaseRepresentation
bin110010010000010001110111…
…011001011010010001110101
31001222120101212220201220010221
4302100101313121122101311
5212432202022132431401
62102023353250014341
764361145631013500
oct6220216731322165
91058511786656127
10221021020202101
1164473540997229
12209574305773b1
1396432676a7652
143c8168dc9a137
151a843e5c797a1
hexc9047765a475

221021020202101 has 12 divisors (see below), whose sum is σ = 259381359817452. Its totient is φ = 187770070255488.

The previous prime is 221021020202009. The next prime is 221021020202189. The reversal of 221021020202101 is 101202020120122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50796837296100 + 170224182906001 = 7127190^2 + 13046999^2 .

It is not a de Polignac number, because 221021020202101 - 217 = 221021020071029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021020202501) 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 11 ways as a sum of consecutive naturals, for example, 19958547850 + ... + 19958558923.

It is an arithmetic number, because the mean of its divisors is an integer number (21615113318121).

Almost surely, 2221021020202101 is an apocalyptic number.

It is an amenable number.

221021020202101 is a deficient number, since it is larger than the sum of its proper divisors (38360339615351).

221021020202101 is a wasteful number, since it uses less digits than its factorization.

221021020202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39917106900 (or 39917106893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221021020202101 its reverse (101202020120122), we get a palindrome (322223040322223).

The spelling of 221021020202101 in words is "two hundred twenty-one trillion, twenty-one billion, twenty million, two hundred two thousand, one hundred one".

Divisors: 1 7 49 113 791 5537 39917106773 279419747411 1955938231877 4510633065349 31574431457443 221021020202101