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10201020021101 = 713314219857099
BaseRepresentation
bin1001010001110001110000…
…1011001011100101101101
31100010012121121212101020002
42110130130023023211231
52314113142111133401
633410141153434045
72101666533336620
oct224343413134555
940105547771202
1010201020021101
113283256953168
121189038b6b925
1358cc4b8a4780
14273a3688ddb7
1512a542c00a6b
hex9471c2cb96d

10201020021101 has 32 divisors (see below), whose sum is σ = 12963191808000. Its totient is φ = 7808917026240.

The previous prime is 10201020021061. The next prime is 10201020021103. The reversal of 10201020021101 is 10112002010201.

10201020021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10201020021101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201020021103) 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, 11473250 + ... + 12330348.

It is an arithmetic number, because the mean of its divisors is an integer number (405099744000).

Almost surely, 210201020021101 is an apocalyptic number.

It is an amenable number.

10201020021101 is a deficient number, since it is larger than the sum of its proper divisors (2762171786899).

10201020021101 is a wasteful number, since it uses less digits than its factorization.

10201020021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861369.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201020021101 its reverse (10112002010201), we get a palindrome (20313022031302).

The spelling of 10201020021101 in words is "ten trillion, two hundred one billion, twenty million, twenty-one thousand, one hundred one".

Divisors: 1 7 13 31 91 217 403 2821 4219 29533 54847 130789 383929 857099 915523 1700257 5999693 11142287 11901799 26570069 77996009 185990483 345410897 2417876279 3616100681 25312704767 47009308853 112099121111 329065161971 784693847777 1457288574443 10201020021101