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12002220110101 = 1317291872713389
BaseRepresentation
bin1010111010100111110000…
…0100001111000100010101
31120111101211100121101022111
42232221330010033010111
53033121021322010401
641305424354431021
72346063126436504
oct256517404170425
946441740541274
1012002220110101
11390812739a441
12141a13b292471
13690a5c6427c0
142d6ca67b283b
1515c312cb0e51
hexaea7c10f115

12002220110101 has 16 divisors (see below), whose sum is σ = 14157713228400. Its totient is φ = 10067707173888.

The previous prime is 12002220110099. The next prime is 12002220110117. The reversal of 12002220110101 is 10101102220021.

It can be written as a sum of positive squares in 8 ways, for example, as 1129966874001 + 10872253236100 = 1062999^2 + 3297310^2 .

It is not a de Polignac number, because 12002220110101 - 21 = 12002220110099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002220110161) 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, 936350286 + ... + 936363103.

It is an arithmetic number, because the mean of its divisors is an integer number (884857076775).

Almost surely, 212002220110101 is an apocalyptic number.

It is an amenable number.

12002220110101 is a deficient number, since it is larger than the sum of its proper divisors (2155493118299).

12002220110101 is a wasteful number, since it uses less digits than its factorization.

12002220110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872713448.

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

Adding to 12002220110101 its reverse (10101102220021), we get a palindrome (22103322330122).

The spelling of 12002220110101 in words is "twelve trillion, two billion, two hundred twenty million, one hundred ten thousand, one hundred one".

Divisors: 1 13 17 29 221 377 493 6409 1872713389 24345274057 31836127613 54308688281 413869658969 706012947653 923247700777 12002220110101