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1000201220121 = 373137167199621
BaseRepresentation
bin11101000111000001010…
…00110111000000011001
310112121200202001110121010
432203200220313000121
5112341403003020441
62043252555204133
7132155630044425
oct16434050670031
93477622043533
101000201220121
11356201571614
12141a19446649
137341ab8c2bc
14365a5065b85
151b03e262116
hexe8e0a37019

1000201220121 has 32 divisors (see below), whose sum is σ = 1369898788608. Its totient is φ = 648953441280.

The previous prime is 1000201220119. The next prime is 1000201220129. The reversal of 1000201220121 is 1210221020001.

It is not a de Polignac number, because 1000201220121 - 21 = 1000201220119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000201220097 and 1000201220106.

It is not an unprimeable number, because it can be changed into a prime (1000201220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4910691 + ... + 5110311.

It is an arithmetic number, because the mean of its divisors is an integer number (42809337144).

Almost surely, 21000201220121 is an apocalyptic number.

It is an amenable number.

1000201220121 is a deficient number, since it is larger than the sum of its proper divisors (369697568487).

1000201220121 is a wasteful number, since it uses less digits than its factorization.

1000201220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200001.

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

Adding to 1000201220121 its reverse (1210221020001), we get a palindrome (2210422240122).

The spelling of 1000201220121 in words is "one trillion, two hundred one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 73 137 167 219 411 501 10001 12191 22879 30003 36573 68637 199621 598863 1670167 5010501 14572333 27348077 33336707 43716999 82044231 100010121 1996409621 2433579611 4567128859 5989228863 7300738833 13701386577 333400406707 1000201220121