100202010102101 has 4 divisors (see below), whose sum is σ = 101613306019104. Its totient is φ = 98790714185100.

The previous prime is 100202010102097. The next prime is 100202010102113. The reversal of 100202010102101 is 101201010202001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100202010102101 - 2² = 100202010102097 is a prime.

It is a super-2 number, since 2×100202010102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202010102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705647958395 + ... + 705647958536.

It is an arithmetic number, because the mean of its divisors is an integer number (25403326504776).

Almost surely, 2^{100202010102101} is an apocalyptic number.

It is an amenable number.

100202010102101 is a deficient number, since it is larger than the sum of its proper divisors (1411295917003).

100202010102101 is an equidigital number, since it uses as much as digits as its factorization.

100202010102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411295917002.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100202010102101 its reverse (101201010202001), we get a palindrome (201403020304102).

The spelling of 100202010102101 in words is "one hundred trillion, two hundred two billion, ten million, one hundred two thousand, one hundred one".