101202101 has 54 divisors (see below), whose sum is σ = 141506946. Its totient is φ = 72072000.

The previous prime is 101202097. The next prime is 101202103.

101202101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 8561476 + 92640625 = 2926^2 + 9625^2 .

It is not a de Polignac number, because 101202101 - 2² = 101202097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1001951 + ... + 1002051.

It is an arithmetic number, because the mean of its divisors is an integer number (2620499).

Almost surely, 2^101202101 is an apocalyptic number.

101202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202101 is a deficient number, since it is larger than the sum of its proper divisors (40304845).

101202101 is a wasteful number, since it uses less digits than its factorization.

101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101202101 is about 10059.9254967420. The cubic root of 101202101 is about 466.0113663593.

It can be divided in two parts, 10120 and 2101, that added together give a palindrome (12221).

The spelling of 101202101 in words is "one hundred one million, two hundred two thousand, one hundred one".