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101107913857 is a prime number
BaseRepresentation
bin101111000101010000…
…0000101010010000001
3100122222101101012100021
41132022200011102001
53124032111220412
6114240501253441
710206356042026
oct1361240052201
9318871335307
10101107913857
1139974866195
1217718a04281
1396c4201582
144c7225d54d
15296b635607
hex178a805481

101107913857 has 2 divisors, whose sum is σ = 101107913858. Its totient is φ = 101107913856.

The previous prime is 101107913849. The next prime is 101107913867. The reversal of 101107913857 is 758319701101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93410308161 + 7697605696 = 305631^2 + 87736^2 .

It is a cyclic number.

It is not a de Polignac number, because 101107913857 - 23 = 101107913849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101107913867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553956928 + 50553956929.

It is an arithmetic number, because the mean of its divisors is an integer number (50553956929).

Almost surely, 2101107913857 is an apocalyptic number.

It is an amenable number.

101107913857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101107913857 is an equidigital number, since it uses as much as digits as its factorization.

101107913857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 43.

The spelling of 101107913857 in words is "one hundred one billion, one hundred seven million, nine hundred thirteen thousand, eight hundred fifty-seven".