Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
101121201212001 = 3972294013784159
BaseRepresentation
bin10110111111100000011101…
…010001110000101001100001
3111021001002111101012110100120
4112333200131101300221201
5101223232210002241001
6555022234415510453
730204523430200425
oct2677403521605141
9437032441173316
10101121201212001
112a247295950583
12b411b71828429
1344568c4425b79
141ad8413d28b85
15ba55db6b6236
hex5bf81d470a61

101121201212001 has 32 divisors (see below), whose sum is σ = 137154305971200. Its totient is φ = 66262120243200.

The previous prime is 101121201211967. The next prime is 101121201212047. The reversal of 101121201212001 is 100212102121101.

It is a happy number.

It is not a de Polignac number, because 101121201212001 - 26 = 101121201211937 is a prime.

It is a super-2 number, since 2×1011212012120012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121201216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24830160 + ... + 28614318.

It is an arithmetic number, because the mean of its divisors is an integer number (4286072061600).

Almost surely, 2101121201212001 is an apocalyptic number.

It is an amenable number.

101121201212001 is a deficient number, since it is larger than the sum of its proper divisors (36033104759199).

101121201212001 is a wasteful number, since it uses less digits than its factorization.

101121201212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784889.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121201212001 its reverse (100212102121101), we get a palindrome (201333303333102).

The spelling of 101121201212001 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred twelve thousand, one".

Divisors: 1 3 97 229 291 401 687 1203 22213 38897 66639 91829 116691 275487 3784159 8907413 11352477 26722239 367063423 866572411 1101190269 1517447759 2599717233 4552343277 84057523867 147192432623 252172571601 347495536811 441577297869 1042486610433 33707067070667 101121201212001