101378801 has 2 divisors, whose sum is σ = 101378802. Its totient is φ = 101378800.

The previous prime is 101378791. The next prime is 101378831. The reversal of 101378801 is 108873101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88811776 + 12567025 = 9424^2 + 3545^2 .

It is an emirp because it is prime and its reverse (108873101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101378801 - 2¹⁸ = 101116657 is a prime.

It is a super-3 number, since 3×101378801³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101378831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50689400 + 50689401.

It is an arithmetic number, because the mean of its divisors is an integer number (50689401).

Almost surely, 2^101378801 is an apocalyptic number.

It is an amenable number.

101378801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101378801 is an equidigital number, since it uses as much as digits as its factorization.

101378801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 101378801 is about 10068.7040377598. The cubic root of 101378801 is about 466.2824290132.

The spelling of 101378801 in words is "one hundred one million, three hundred seventy-eight thousand, eight hundred one".