100101022010101 has 4 divisors (see below), whose sum is σ = 114401168011552. Its totient is φ = 85800876008652.

The previous prime is 100101022010083. The next prime is 100101022010113. The reversal of 100101022010101 is 101010220101001.

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 not a de Polignac number, because 100101022010101 - 2⁷ = 100101022009973 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 (100101022010191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7150073000715 + ... + 7150073000728.

It is an arithmetic number, because the mean of its divisors is an integer number (28600292002888).

Almost surely, 2^{100101022010101} is an apocalyptic number.

It is an amenable number.

100101022010101 is a deficient number, since it is larger than the sum of its proper divisors (14300146001451).

100101022010101 is an equidigital number, since it uses as much as digits as its factorization.

100101022010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300146001450.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101022010101 its reverse (101010220101001), we get a palindrome (201111242111102).

The spelling of 100101022010101 in words is "one hundred trillion, one hundred one billion, twenty-two million, ten thousand, one hundred one".