2202100100101 has 12 divisors (see below), whose sum is σ = 2460170368012. Its totient is φ = 1969090992000.

The previous prime is 2202100100087. The next prime is 2202100100107. The reversal of 2202100100101 is 1010010012022.

It can be written as a sum of positive squares in 2 ways, for example, as 1053494907201 + 1148605192900 = 1026399^2 + 1071730^2 .

It is not a de Polignac number, because 2202100100101 - 2¹³ = 2202100091909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202100100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149166180 + ... + 149180941.

Almost surely, 2^{2202100100101} is an apocalyptic number.

It is an amenable number.

2202100100101 is a deficient number, since it is larger than the sum of its proper divisors (258070267911).

2202100100101 is a wasteful number, since it uses less digits than its factorization.

2202100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298347204 (or 298347193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2202100100101 its reverse (1010010012022), we get a palindrome (3212110112123).

The spelling of 2202100100101 in words is "two trillion, two hundred two billion, one hundred million, one hundred thousand, one hundred one".