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101221122022213 is a prime number
BaseRepresentation
bin10111000000111101100001…
…000001011001101101000101
3111021101122102000211112122011
4113000331201001121231011
5101231401324214202323
6555140201433334221
730214661523106054
oct2700754101315505
9437348360745564
10101221122022213
112a285700609176
12b4293b8b67371
1344631596c9c3b
141add1b265439b
15ba7ed89ac20d
hex5c0f61059b45

101221122022213 has 2 divisors, whose sum is σ = 101221122022214. Its totient is φ = 101221122022212.

The previous prime is 101221122022187. The next prime is 101221122022357. The reversal of 101221122022213 is 312220221122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97203173933889 + 4017948088324 = 9859167^2 + 2004482^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221122022213 - 221 = 101221119925061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221122322213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610561011106 + 50610561011107.

It is an arithmetic number, because the mean of its divisors is an integer number (50610561011107).

Almost surely, 2101221122022213 is an apocalyptic number.

It is an amenable number.

101221122022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221122022213 is an equidigital number, since it uses as much as digits as its factorization.

101221122022213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101221122022213 its reverse (312220221122101), we get a palindrome (413441343144314).

The spelling of 101221122022213 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, two hundred thirteen".