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10201002122201 = 1129701277716427
BaseRepresentation
bin1001010001110001101100…
…0110111001101111011001
31100010012120101012000112212
42110130123012321233121
52314113123020402301
633410135314044505
72101666225241342
oct224343306715731
940105511160485
1010201002122201
113283247838490
121189032b79735
1358cc47c787c7
14273a343510c9
1512a5413674bb
hex9471b1b9bd9

10201002122201 has 32 divisors (see below), whose sum is σ = 11533378596480. Its totient is φ = 8937320896000.

The previous prime is 10201002122191. The next prime is 10201002122209. The reversal of 10201002122201 is 10222120010201.

It is a cyclic number.

It is not a de Polignac number, because 10201002122201 - 218 = 10201001860057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201002122209) 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, 620981750 + ... + 620998176.

It is an arithmetic number, because the mean of its divisors is an integer number (360418081140).

Almost surely, 210201002122201 is an apocalyptic number.

10201002122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201002122201 is a deficient number, since it is larger than the sum of its proper divisors (1332376474279).

10201002122201 is a wasteful number, since it uses less digits than its factorization.

10201002122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19945.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201002122201 its reverse (10222120010201), we get a palindrome (20423122132402).

The spelling of 10201002122201 in words is "ten trillion, two hundred one billion, two million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 11 29 319 701 2777 7711 16427 20329 30547 80533 180697 223619 476383 885863 1946677 5240213 11515327 21413447 45617779 56453633 126668597 333944483 501795569 620989963 1322915591 3673389313 14552071501 31978063079 351758693869 927363829291 10201002122201