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10220011102101 = 31723371271854163
BaseRepresentation
bin1001010010111000100000…
…1000011001111110010101
31100012000122010221020210110
42110232020020121332111
52314421040320231401
633423001442313233
72103241255014663
oct224561010317625
940160563836713
1010220011102101
113290311917429
121190859058819
1359198723b6c8
14274918b85c33
1512aca50c79d6
hex94b88219f95

10220011102101 has 64 divisors (see below), whose sum is σ = 15584233586688. Its totient is φ = 5920977097728.

The previous prime is 10220011102087. The next prime is 10220011102163. The reversal of 10220011102101 is 10120111002201.

It is not a de Polignac number, because 10220011102101 - 213 = 10220011093909 is a prime.

It is a super-2 number, since 2×102200111021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011102181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4584846 + ... + 6439008.

It is an arithmetic number, because the mean of its divisors is an integer number (243503649792).

Almost surely, 210220011102101 is an apocalyptic number.

It is an amenable number.

10220011102101 is a deficient number, since it is larger than the sum of its proper divisors (5364222484587).

10220011102101 is a wasteful number, since it uses less digits than its factorization.

10220011102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854370.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10220011102101 its reverse (10120111002201), we get a palindrome (20340122104302).

The spelling of 10220011102101 in words is "ten trillion, two hundred twenty billion, eleven million, one hundred two thousand, one hundred one".

Divisors: 1 3 17 23 37 51 69 111 127 381 391 629 851 1173 1887 2159 2553 2921 4699 6477 8763 14097 14467 43401 49657 79883 108077 148971 239649 324231 1837309 1854163 5511927 5562489 31520771 42645749 68604031 94562313 127937247 205812093 235478701 706436103 724977733 1166268527 1577892713 2174933199 3498805581 4003137917 4733678139 5416010123 8712711937 12009413751 16248030369 26138135811 26824176121 80472528363 92072172091 148116102929 200392374551 276216516273 444348308787 601177123653 3406670367367 10220011102101