100202101 has 2 divisors, whose sum is σ = 100202102. Its totient is φ = 100202100.

The previous prime is 100202057. The next prime is 100202117. The reversal of 100202101 is 101202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76143076 + 24059025 = 8726^2 + 4905^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202101 - 2¹⁷ = 100071029 is a prime.

It is a super-2 number, since 2×100202101² = 20080922089628402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100202161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101050 + 50101051.

It is an arithmetic number, because the mean of its divisors is an integer number (50101051).

Almost surely, 2^100202101 is an apocalyptic number.

It is an amenable number.

100202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202101 is an equidigital number, since it uses as much as digits as its factorization.

100202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100202101 is about 10010.0999495510. The cubic root of 100202101 is about 464.4713628626.

Adding to 100202101 its reverse (101202001), we get a palindrome (201404102).

It can be divided in two parts, 10020 and 2101, that added together give a palindrome (12121).

The spelling of 100202101 in words is "one hundred million, two hundred two thousand, one hundred one".