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10021012201201 = 172997492084993
BaseRepresentation
bin1001000111010011001011…
…0111110101111011110001
31022110222222120101200002111
42101310302313311323301
52303141013110414301
633151331153245321
72052665011200151
oct221646267657361
938428876350074
1010021012201201
11321398415a861
12115a180863841
13578c92452a81
1426903ba1a761
15125a099a0551
hex91d32df5ef1

10021012201201 has 16 divisors (see below), whose sum is σ = 10977493410000. Its totient is φ = 9105376903168.

The previous prime is 10021012201199. The next prime is 10021012201247. The reversal of 10021012201201 is 10210221012001.

It can be written as a sum of positive squares in 8 ways, for example, as 300085935601 + 9720926265600 = 547801^2 + 3117840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021012201201 - 21 = 10021012201199 is a prime.

It is a super-2 number, since 2×100210122012012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021012201271) 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, 3763761 + ... + 5848753.

It is an arithmetic number, because the mean of its divisors is an integer number (686093338125).

Almost surely, 210021012201201 is an apocalyptic number.

It is an amenable number.

10021012201201 is a deficient number, since it is larger than the sum of its proper divisors (956481208799).

10021012201201 is a wasteful number, since it uses less digits than its factorization.

10021012201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094788.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10021012201201 its reverse (10210221012001), we get a palindrome (20231233213202).

The spelling of 10021012201201 in words is "ten trillion, twenty-one billion, twelve million, two hundred one thousand, two hundred one".

Divisors: 1 17 29 493 9749 165733 282721 2084993 4806257 35444881 60464797 1027901549 20326596757 345552144869 589471305953 10021012201201