100201022201029 has 2 divisors, whose sum is σ = 100201022201030. Its totient is φ = 100201022201028.

The previous prime is 100201022201017. The next prime is 100201022201041. The reversal of 100201022201029 is 920102220102001.

It is a balanced prime because it is at equal distance from previous prime (100201022201017) and next prime (100201022201041).

It can be written as a sum of positive squares in only one way, i.e., 99289566292225 + 911455908804 = 9964415^2 + 954702^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201022201029 - 2⁷ = 100201022200901 is a prime.

It is a super-2 number, since 2×100201022201029² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201022201099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100511100514 + 50100511100515.

It is an arithmetic number, because the mean of its divisors is an integer number (50100511100515).

Almost surely, 2^{100201022201029} is an apocalyptic number.

It is an amenable number.

100201022201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201022201029 is an equidigital number, since it uses as much as digits as its factorization.

100201022201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 100201022201029 in words is "one hundred trillion, two hundred one billion, twenty-two million, two hundred one thousand, twenty-nine".