Search a number
-
+
122120101 is a prime number
BaseRepresentation
bin1110100011101…
…10011110100101
322111210100021201
413101312132211
5222230320401
620041242501
73012001165
oct721663645
9274710251
10122120101
1162a2a704
1234a93431
131c3b9c1c
141230c5a5
15aac3b01
hex74767a5

122120101 has 2 divisors, whose sum is σ = 122120102. Its totient is φ = 122120100.

The previous prime is 122120093. The next prime is 122120107. The reversal of 122120101 is 101021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107143201 + 14976900 = 10351^2 + 3870^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120101 - 23 = 122120093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060050 + 61060051.

It is an arithmetic number, because the mean of its divisors is an integer number (61060051).

Almost surely, 2122120101 is an apocalyptic number.

It is an amenable number.

122120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120101 is an equidigital number, since it uses as much as digits as its factorization.

122120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122120101 is about 11050.7963966404. The cubic root of 122120101 is about 496.1302621903.

Adding to 122120101 its reverse (101021221), we get a palindrome (223141322).

It can be divided in two parts, 122120 and 101, that added together give a palindrome (122221).

The spelling of 122120101 in words is "one hundred twenty-two million, one hundred twenty thousand, one hundred one".