101022109944541 has 2 divisors, whose sum is σ = 101022109944542. Its totient is φ = 101022109944540.

The previous prime is 101022109944529. The next prime is 101022109944551. The reversal of 101022109944541 is 145449901220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86050743533316 + 14971366411225 = 9276354^2 + 3869285^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022109944541 - 2³³ = 101013520009949 is a prime.

It is a super-3 number, since 3×101022109944541³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022109944551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511054972270 + 50511054972271.

It is an arithmetic number, because the mean of its divisors is an integer number (50511054972271).

Almost surely, 2^{101022109944541} is an apocalyptic number.

It is an amenable number.

101022109944541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022109944541 is an equidigital number, since it uses as much as digits as its factorization.

101022109944541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 101022109944541 in words is "one hundred one trillion, twenty-two billion, one hundred nine million, nine hundred forty-four thousand, five hundred forty-one".