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100221122101 is a prime number
BaseRepresentation
bin101110101010110100…
…1001111011000110101
3100120200120201111202011
41131111221033120311
53120223101401401
6114012502244221
710145400324232
oct1352551173065
9316616644664
10100221122101
113955a235441
121750ba26671
1395b2580b19
144bca580789
152918867451
hex1755a4f635

100221122101 has 2 divisors, whose sum is σ = 100221122102. Its totient is φ = 100221122100.

The previous prime is 100221122087. The next prime is 100221122137. The reversal of 100221122101 is 101221122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94353408900 + 5867713201 = 307170^2 + 76601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221122101 - 29 = 100221121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221122161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110561050 + 50110561051.

It is an arithmetic number, because the mean of its divisors is an integer number (50110561051).

Almost surely, 2100221122101 is an apocalyptic number.

It is an amenable number.

100221122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221122101 is an equidigital number, since it uses as much as digits as its factorization.

100221122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221122101 its reverse (101221122001), we get a palindrome (201442244102).

The spelling of 100221122101 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred one".