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1000120101201 = 3213181365912907
BaseRepresentation
bin11101000110110111100…
…11011010100101010001
310112121111002102012100200
432203123303122211101
5112341221221214301
62043240540405413
7132153623411214
oct16433363324521
93477432365320
101000120101201
1135616a7a6791
121419b6246869
1373407129840
143659838b77b
151b03708bc86
hexe8dbcda951

1000120101201 has 48 divisors (see below), whose sum is σ = 1564886406720. Its totient is φ = 611843518080.

The previous prime is 1000120101199. The next prime is 1000120101209. The reversal of 1000120101201 is 1021010210001.

It is a happy number.

It is not a de Polignac number, because 1000120101201 - 21 = 1000120101199 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 (1000120101209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77480190 + ... + 77493096.

It is an arithmetic number, because the mean of its divisors is an integer number (32601800140).

Almost surely, 21000120101201 is an apocalyptic number.

It is an amenable number.

1000120101201 is a deficient number, since it is larger than the sum of its proper divisors (564766305519).

1000120101201 is a wasteful number, since it uses less digits than its factorization.

1000120101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16763 counting only the distinct ones).

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

Adding to 1000120101201 its reverse (1021010210001), we get a palindrome (2021130311202).

The spelling of 1000120101201 in words is "one trillion, one hundred twenty million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 13 39 117 181 543 1629 2353 3659 7059 10977 12907 21177 32931 38721 47567 116163 142701 167791 428103 503373 662279 1510119 1986837 2336167 5960511 7008501 8609627 21025503 25828881 30370171 47226713 77486643 91110513 141680139 273331539 425040417 613947269 1841841807 5525525421 8548035053 25644105159 76932315477 111124455689 333373367067 1000120101201