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1001012110021 = 71135340519091
BaseRepresentation
bin11101001000100001111…
…10001010001011000101
310112200210020212221102101
432210100332022023011
5112400033100010041
62043505243312101
7132215004355060
oct16442076121305
93480706787371
101001012110021
11356588270160
12142004b1b631
1373519b85b01
1436640a278d7
151b08a53ab31
hexe910f8a2c5

1001012110021 has 32 divisors (see below), whose sum is σ = 1251997203456. Its totient is φ = 777522240000.

The previous prime is 1001012110003. The next prime is 1001012110057. The reversal of 1001012110021 is 1200112101001.

It is not a de Polignac number, because 1001012110021 - 25 = 1001012109989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012110421) 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, 110105686 + ... + 110114776.

It is an arithmetic number, because the mean of its divisors is an integer number (39124912608).

Almost surely, 21001012110021 is an apocalyptic number.

1001012110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001012110021 is a deficient number, since it is larger than the sum of its proper divisors (250985093435).

1001012110021 is a wasteful number, since it uses less digits than its factorization.

1001012110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001012110021 its reverse (1200112101001), we get a palindrome (2201124211022).

It can be divided in two parts, 100101 and 2110021, that added together give a palindrome (2210122).

The spelling of 1001012110021 in words is "one trillion, one billion, twelve million, one hundred ten thousand, twenty-one".

Divisors: 1 7 11 77 353 2471 3883 4051 9091 27181 28357 44561 63637 100001 311927 700007 1430003 3209123 10010021 15730033 22463861 35300353 36827641 110110231 247102471 257793487 405104051 2835728357 13000157273 91001100911 143001730003 1001012110021