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100122010221 = 31725135322157
BaseRepresentation
bin101110100111110111…
…1001010001001101101
3100120102200020002210210
41131033233022021231
53120022213311341
6113555002053033
710143055021302
oct1351757121155
9316380202723
10100122010221
11395092a01a2
12174a27aa179
139597b8b63c
144bbb3410a9
15290ecdac16
hex174fbca26d

100122010221 has 32 divisors (see below), whose sum is σ = 142320302208. Its totient is φ = 62391296000.

The previous prime is 100122010211. The next prime is 100122010231. The reversal of 100122010221 is 122010221001.

It is an interprime number because it is at equal distance from previous prime (100122010211) and next prime (100122010231).

It is a cyclic number.

It is not a de Polignac number, because 100122010221 - 223 = 100113621613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122010197 and 100122010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122010211) 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, 4507675 + ... + 4529831.

It is an arithmetic number, because the mean of its divisors is an integer number (4447509444).

Almost surely, 2100122010221 is an apocalyptic number.

It is an amenable number.

100122010221 is a deficient number, since it is larger than the sum of its proper divisors (42198291987).

100122010221 is a wasteful number, since it uses less digits than its factorization.

100122010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22781.

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

Adding to 100122010221 its reverse (122010221001), we get a palindrome (222132231222).

The spelling of 100122010221 in words is "one hundred billion, one hundred twenty-two million, ten thousand, two hundred twenty-one".

Divisors: 1 3 17 51 251 353 753 1059 4267 6001 12801 18003 22157 66471 88603 265809 376669 1130007 1506251 4518753 5561407 7821421 16684221 23464263 94543919 132964157 283631757 398892471 1963176671 5889530013 33374003407 100122010221