100221002021149 has 2 divisors, whose sum is σ = 100221002021150. Its totient is φ = 100221002021148.

The previous prime is 100221002021059. The next prime is 100221002021269. The reversal of 100221002021149 is 941120200122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63765127884249 + 36455874136900 = 7985307^2 + 6037870^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221002021149 - 2¹⁷ = 100221001890077 is a prime.

It is a super-2 number, since 2×100221002021149² (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 (100221002022149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110501010574 + 50110501010575.

It is an arithmetic number, because the mean of its divisors is an integer number (50110501010575).

Almost surely, 2^{100221002021149} is an apocalyptic number.

It is an amenable number.

100221002021149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221002021149 is an equidigital number, since it uses as much as digits as its factorization.

100221002021149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 100221002021149 in words is "one hundred trillion, two hundred twenty-one billion, two million, twenty-one thousand, one hundred forty-nine".