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10010100200121 = 32710971068713553
BaseRepresentation
bin1001000110101010100001…
…1101110111001010111001
31022102221211002112120200100
42101222220131313022321
52303001141122400441
633142324311230013
72052130420544010
oct221525035671271
938387732476610
1010010100200121
11320a29466694a
121158036378309
13577c438295b8
142686c46d5a77
151255bb9e4cb6
hex91aa87772b9

10010100200121 has 48 divisors (see below), whose sum is σ = 16542441437184. Its totient is φ = 5713886610432.

The previous prime is 10010100200083. The next prime is 10010100200147. The reversal of 10010100200121 is 12100200101001.

It is a happy number.

It is not a de Polignac number, because 10010100200121 - 210 = 10010100199097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10010100250121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738582481 + ... + 738596033.

It is an arithmetic number, because the mean of its divisors is an integer number (344634196608).

Almost surely, 210010100200121 is an apocalyptic number.

It is an amenable number.

10010100200121 is a deficient number, since it is larger than the sum of its proper divisors (6532341237063).

10010100200121 is a wasteful number, since it uses less digits than its factorization.

10010100200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25350 (or 25347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010100200121 its reverse (12100200101001), we get a palindrome (22110300301122).

The spelling of 10010100200121 in words is "ten trillion, ten billion, one hundred million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 1097 3291 7679 9873 10687 13553 23037 32061 40659 69111 74809 94871 96183 121977 224427 284613 673281 853839 11723639 14867641 35170917 44602923 82065473 104073487 105512751 133808769 144840911 246196419 312220461 434522733 738589257 936661383 1013886377 1303568199 3041659131 9124977393 158890479367 476671438101 1112233355569 1430014314303 3336700066707 10010100200121