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1002201100101 = 33277271149429
BaseRepresentation
bin11101001010101111101…
…01110010111101000101
310112210212010011220012000
432211113311302331011
5112410001440200401
62044223235415513
7132256322536335
oct16452765627505
93483763156160
101002201100101
11357038436a93
12142297154599
13736792c3b36
14367148cd0c5
151b109aee186
hexe957d72f45

1002201100101 has 32 divisors (see below), whose sum is σ = 1490682259200. Its totient is φ = 665463003840.

The previous prime is 1002201100097. The next prime is 1002201100127. The reversal of 1002201100101 is 1010011022001.

It is a happy number.

It is not a de Polignac number, because 1002201100101 - 22 = 1002201100097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002201100301) 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, 20250855 + ... + 20300283.

It is an arithmetic number, because the mean of its divisors is an integer number (46583820600).

Almost surely, 21002201100101 is an apocalyptic number.

It is an amenable number.

1002201100101 is a deficient number, since it is larger than the sum of its proper divisors (488481159099).

1002201100101 is a wasteful number, since it uses less digits than its factorization.

1002201100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426 (or 52420 counting only the distinct ones).

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

Adding to 1002201100101 its reverse (1010011022001), we get a palindrome (2012212122102).

The spelling of 1002201100101 in words is "one trillion, two billion, two hundred one million, one hundred thousand, one hundred one".

Divisors: 1 3 9 27 277 831 2493 2711 7479 8133 24399 49429 73197 148287 444861 750947 1334583 2252841 6758523 13691833 20275569 41075499 123226497 134002019 369679491 402006057 1206018171 3618054513 37118559263 111355677789 334067033367 1002201100101