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101202110101 is a prime number
BaseRepresentation
bin101111001000000011…
…1011010011010010101
3100200012221121212022001
41132100013122122111
53124230220010401
6114254104235301
710211611512451
oct1362007323225
9320187555261
10101202110101
1139a12a53224
121774446bb31
13970a8924b1
144c8097d661
152974a40601
hex17901da695

101202110101 has 2 divisors, whose sum is σ = 101202110102. Its totient is φ = 101202110100.

The previous prime is 101202110081. The next prime is 101202110123. The reversal of 101202110101 is 101011202101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98310467025 + 2891643076 = 313545^2 + 53774^2 .

It is an emirp because it is prime and its reverse (101011202101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101202110101 - 217 = 101201979029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601055050 + 50601055051.

It is an arithmetic number, because the mean of its divisors is an integer number (50601055051).

Almost surely, 2101202110101 is an apocalyptic number.

It is an amenable number.

101202110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202110101 is an equidigital number, since it uses as much as digits as its factorization.

101202110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101202110101 its reverse (101011202101), we get a palindrome (202213312202).

The spelling of 101202110101 in words is "one hundred one billion, two hundred two million, one hundred ten thousand, one hundred one".