102101221022101 has 4 divisors (see below), whose sum is σ = 116687109739552. Its totient is φ = 87515332304652.

The previous prime is 102101221022089. The next prime is 102101221022191. The reversal of 102101221022101 is 101220122101201.

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 102101221022101 - 2¹⁵ = 102101220989333 is a prime.

It is a super-2 number, since 2×102101221022101² (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 (102101221022191) 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, 7292944358715 + ... + 7292944358728.

It is an arithmetic number, because the mean of its divisors is an integer number (29171777434888).

Almost surely, 2^{102101221022101} is an apocalyptic number.

It is an amenable number.

102101221022101 is a deficient number, since it is larger than the sum of its proper divisors (14585888717451).

102101221022101 is an equidigital number, since it uses as much as digits as its factorization.

102101221022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585888717450.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101221022101 its reverse (101220122101201), we get a palindrome (203321343123302).

The spelling of 102101221022101 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-two thousand, one hundred one".