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102021101312221 = 71343148117604557
BaseRepresentation
bin10111001100100110100011…
…100000001101100011011101
3111101020010021222000002212001
4113030212203200031203131
5101333003203413442341
61000551502534042301
730326531665634110
oct2714464340154335
9441203258002761
10102021101312221
112a5639a7008173
12b5384584a9391
1344c07192a4c80
141b29bc1d48577
15bbdc0a05cd31
hex5cc9a380d8dd

102021101312221 has 32 divisors (see below), whose sum is σ = 128571298023168. Its totient is φ = 78789542469120.

The previous prime is 102021101312213. The next prime is 102021101312257. The reversal of 102021101312221 is 122213101120201.

It is not a de Polignac number, because 102021101312221 - 23 = 102021101312213 is a prime.

It is a super-2 number, since 2×1020211013122212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021101322221) 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 31 ways as a sum of consecutive naturals, for example, 3007126 + ... + 14597431.

It is an arithmetic number, because the mean of its divisors is an integer number (4017853063224).

Almost surely, 2102021101312221 is an apocalyptic number.

It is an amenable number.

102021101312221 is a deficient number, since it is larger than the sum of its proper divisors (26550196710947).

102021101312221 is a wasteful number, since it uses less digits than its factorization.

102021101312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17606101.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102021101312221 its reverse (122213101120201), we get a palindrome (224234202432422).

The spelling of 102021101312221 in words is "one hundred two trillion, twenty-one billion, one hundred one million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 13 43 91 301 559 1481 3913 10367 19253 63683 134771 445781 827879 5795153 17604557 123231899 228859241 756995951 1602014687 5298971657 9840947363 26072348917 68886631541 182506442419 338940535921 1121111003431 2372583751447 7847777024017 14574443044603 102021101312221