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100021021221 = 31167257176023
BaseRepresentation
bin101110100100110110…
…1111010101000100101
3100120011122012022221110
41131021231322220211
53114320340134341
6113540553335233
710140420436602
oct1351155725045
9316148168843
10100021021221
1139467293710
1217474a07519
13957cc8c934
144babb736a9
152905edd216
hex1749b7aa25

100021021221 has 32 divisors (see below), whose sum is σ = 148231922688. Its totient is φ = 59481354240.

The previous prime is 100021021213. The next prime is 100021021229. The reversal of 100021021221 is 122120120001.

It is an interprime number because it is at equal distance from previous prime (100021021213) and next prime (100021021229).

It is not a de Polignac number, because 100021021221 - 23 = 100021021213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021021197 and 100021021206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021021229) 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, 480216 + ... + 656238.

It is an arithmetic number, because the mean of its divisors is an integer number (4632247584).

Almost surely, 2100021021221 is an apocalyptic number.

100021021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021021221 is a deficient number, since it is larger than the sum of its proper divisors (48210901467).

100021021221 is a wasteful number, since it uses less digits than its factorization.

100021021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176361.

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

Adding to 100021021221 its reverse (122120120001), we get a palindrome (222141141222).

The spelling of 100021021221 in words is "one hundred billion, twenty-one million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 67 201 257 737 771 2211 2827 8481 17219 51657 176023 189409 528069 568227 1936253 5808759 11793541 35380623 45237911 129728951 135713733 389186853 497617021 1492851063 3030940037 9092820111 33340340407 100021021221