100061055505001 has 2 divisors, whose sum is σ = 100061055505002. Its totient is φ = 100061055505000.

The previous prime is 100061055504929. The next prime is 100061055505031. The reversal of 100061055505001 is 100505550160001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99425846505001 + 635209000000 = 9971251^2 + 797000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100061055505001 - 2²² = 100061051310697 is a prime.

It is a super-3 number, since 3×100061055505001³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100061055505031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50030527752500 + 50030527752501.

It is an arithmetic number, because the mean of its divisors is an integer number (50030527752501).

Almost surely, 2^{100061055505001} is an apocalyptic number.

It is an amenable number.

100061055505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100061055505001 is an equidigital number, since it uses as much as digits as its factorization.

100061055505001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100061055505001 in words is "one hundred trillion, sixty-one billion, fifty-five million, five hundred five thousand, one".