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101000200212021 = 311194718311871839
BaseRepresentation
bin10110111101101111110001…
…000011100100111000110101
3111020121112011121110210000210
4112331233301003210320311
5101214241402223241041
6554450503524300033
730163011054520635
oct2675576103447065
9436545147423023
10101000200212021
112a1aaa42a4a350
12b3b2622841619
13444837ca41426
141ad2615a946c5
15ba23a88d3016
hex5bdbf10e4e35

101000200212021 has 64 divisors (see below), whose sum is σ = 158018037350400. Its totient is φ = 56725676222400.

The previous prime is 101000200212019. The next prime is 101000200212029. The reversal of 101000200212021 is 120212002000101.

It is not a de Polignac number, because 101000200212021 - 21 = 101000200212019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000200211988 and 101000200212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000200212029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53021820 + ... + 54893658.

It is an arithmetic number, because the mean of its divisors is an integer number (2469031833600).

Almost surely, 2101000200212021 is an apocalyptic number.

101000200212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000200212021 is a deficient number, since it is larger than the sum of its proper divisors (57017837138379).

101000200212021 is a wasteful number, since it uses less digits than its factorization.

101000200212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873750.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000200212021 its reverse (120212002000101), we get a palindrome (221212202212122).

The spelling of 101000200212021 in words is "one hundred one trillion, two hundred million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 11 19 33 47 57 141 209 517 627 893 1551 1831 2679 5493 9823 20141 29469 34789 60423 86057 104367 258171 382679 946627 1148037 1635083 1871839 2839881 4905249 5615517 17985913 20590229 35564941 53957739 61770687 87976433 106694823 263929299 391214351 967740763 1173643053 1671552227 2903222289 3427337209 5014656681 10282011627 18387074497 37700709299 55161223491 65119406971 113102127897 161084848823 195358220913 483254546469 716313476681 1771933337053 2148940430043 3060612127637 5315800011159 9181836382911 33666733404007 101000200212021