101120000021101 has 2 divisors, whose sum is σ = 101120000021102. Its totient is φ = 101120000021100.

The previous prime is 101120000021099. The next prime is 101120000021189.

101120000021101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65302480190025 + 35817519831076 = 8080995^2 + 5984774^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101120000021101 - 2¹ = 101120000021099 is a prime.

Together with 101120000021099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120000021501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560000010550 + 50560000010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560000010551).

Almost surely, 2^{101120000021101} is an apocalyptic number.

It is an amenable number.

101120000021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120000021101 is an equidigital number, since it uses as much as digits as its factorization.

101120000021101 is an evil number, because the sum of its binary digits is even.

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

It can be divided in two parts, 1011200000 and 21101, that added together give a palindrome (1011221101).

The spelling of 101120000021101 in words is "one hundred one trillion, one hundred twenty billion, twenty-one thousand, one hundred one".