101051060101 has 2 divisors, whose sum is σ = 101051060102. Its totient is φ = 101051060100.

The previous prime is 101051060083. The next prime is 101051060111. The reversal of 101051060101 is 101060150101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91127911876 + 9923148225 = 301874^2 + 99615^2 .

It is an emirp because it is prime and its reverse (101060150101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101051060101 - 2¹⁵ = 101051027333 is a prime.

It is a super-2 number, since 2×101051060101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101051060111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525530050 + 50525530051.

It is an arithmetic number, because the mean of its divisors is an integer number (50525530051).

Almost surely, 2^101051060101 is an apocalyptic number.

It is an amenable number.

101051060101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051060101 is an equidigital number, since it uses as much as digits as its factorization.

101051060101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 101051060101 in words is "one hundred one billion, fifty-one million, sixty thousand, one hundred one".