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101021020221 = 311101110327479
BaseRepresentation
bin101111000010101010…
…0100111000000111101
3100122202022212112200110
41132011110213000331
53123342340121341
6114224115020233
710204252334562
oct1360524470075
9318668775613
10101021020221
113992a806770
12176b389a679
1396ac1c9514
144c648c0869
152963bbe216
hex178552703d

101021020221 has 32 divisors (see below), whose sum is σ = 148534456320. Its totient is φ = 60561512000.

The previous prime is 101021020213. The next prime is 101021020271. The reversal of 101021020221 is 122020120101.

It is not a de Polignac number, because 101021020221 - 23 = 101021020213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021020197 and 101021020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021020211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3662560 + ... + 3690038.

It is an arithmetic number, because the mean of its divisors is an integer number (4641701760).

Almost surely, 2101021020221 is an apocalyptic number.

101021020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101021020221 is a deficient number, since it is larger than the sum of its proper divisors (47513436099).

101021020221 is a wasteful number, since it uses less digits than its factorization.

101021020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28697.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021020221 its reverse (122020120101), we get a palindrome (223041140322).

The spelling of 101021020221 in words is "one hundred one billion, twenty-one million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1103 1111 3309 3333 12133 27479 36399 82437 111403 302269 334209 906807 1225433 2775379 3676299 8326137 30309337 30529169 90928011 91587507 333402707 1000208121 3061243037 9183729111 33673673407 101021020221