101201102101 has 4 divisors (see below), whose sum is σ = 110401202304. Its totient is φ = 92001001900.

The previous prime is 101201102089. The next prime is 101201102117.

101201102101 is nontrivially palindromic in base 10.

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 101201102101 - 2⁵ = 101201102069 is a prime.

It is a super-2 number, since 2×101201102101² (a number of 23 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 (101201102131) 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, 4600050085 + ... + 4600050106.

It is an arithmetic number, because the mean of its divisors is an integer number (27600300576).

Almost surely, 2^101201102101 is an apocalyptic number.

101201102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201102101 is a deficient number, since it is larger than the sum of its proper divisors (9200100203).

101201102101 is an equidigital number, since it uses as much as digits as its factorization.

101201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200100202.

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

It can be divided in two parts, 101201 and 102101, that multiplied together give a palindrome (10332723301).

The spelling of 101201102101 in words is "one hundred one billion, two hundred one million, one hundred two thousand, one hundred one".