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101222221202221 = 7172375748854569
BaseRepresentation
bin10111000000111110100010…
…100010011100001100101101
3111021101202020122010200010211
4113000332202202130030231
5101231411102111432341
6555140502500502421
730215031001015360
oct2700764242341455
9437352218120124
10101222221202221
112a2861150133a9
12b4296650aaa11
1344632a3351602
141add27861c0d7
15ba8050230181
hex5c0fa289c32d

101222221202221 has 32 divisors (see below), whose sum is σ = 127981776591360. Its totient is φ = 78004720797696.

The previous prime is 101222221202161. The next prime is 101222221202281. The reversal of 101222221202221 is 122202122222101.

It is an interprime number because it is at equal distance from previous prime (101222221202161) and next prime (101222221202281).

It is not a de Polignac number, because 101222221202221 - 219 = 101222220677933 is a prime.

It is a super-2 number, since 2×1012222212022212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101222221202192 and 101222221202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222221202281) 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, 22355376 + ... + 26499193.

It is an arithmetic number, because the mean of its divisors is an integer number (3999430518480).

Almost surely, 2101222221202221 is an apocalyptic number.

It is an amenable number.

101222221202221 is a deficient number, since it is larger than the sum of its proper divisors (26759555389139).

101222221202221 is a wasteful number, since it uses less digits than its factorization.

101222221202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48855373.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101222221202221 its reverse (122202122222101), we get a palindrome (223424343424322).

The spelling of 101222221202221 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 7 17 23 119 161 391 757 2737 5299 12869 17411 90083 121877 295987 2071909 48854569 341981983 830527673 1123655087 5813693711 7865585609 19102136479 36982908733 133714955353 258880361131 628709448461 850606900859 4400966139227 5954248306013 14460317314603 101222221202221