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10221012000201 = 337203894516219
BaseRepresentation
bin1001010010111100001111…
…0010100001110111001001
31100012010012220022010212110
42110233003302201313021
52314430113033001301
633423245035132533
72103305130346152
oct224570362416711
940163186263773
1010221012000201
1132907858a3a42
121190a982a4149
13591ab67015c2
142749b1a88929
1512ad12dd50d6
hex94bc3ca1dc9

10221012000201 has 16 divisors (see below), whose sum is σ = 13997030321600. Its totient is φ = 6629518986048.

The previous prime is 10221012000181. The next prime is 10221012000253. The reversal of 10221012000201 is 10200021012201.

10221012000201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221012000201 - 238 = 9946134093257 is a prime.

It is a super-3 number, since 3×102210120002013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221012000271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070 + ... + 4521288.

It is an arithmetic number, because the mean of its divisors is an integer number (874814395100).

Almost surely, 210221012000201 is an apocalyptic number.

It is an amenable number.

10221012000201 is a deficient number, since it is larger than the sum of its proper divisors (3776018321399).

10221012000201 is a wasteful number, since it uses less digits than its factorization.

10221012000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536648.

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

Adding to 10221012000201 its reverse (10200021012201), we get a palindrome (20421033012402).

It can be divided in two parts, 10221012000 and 201, that added together give a palindrome (10221012201).

The spelling of 10221012000201 in words is "ten trillion, two hundred twenty-one billion, twelve million, two hundred one", and thus it is an aban number.

Divisors: 1 3 37 111 20389 61167 754393 2263179 4516219 13548657 167100103 501300309 92081189191 276243567573 3407004000067 10221012000201