101100021210701 has 2 divisors, whose sum is σ = 101100021210702. Its totient is φ = 101100021210700.

The previous prime is 101100021210673. The next prime is 101100021210703. The reversal of 101100021210701 is 107012120001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88065105258601 + 13034915952100 = 9384301^2 + 3610390^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100021210701 - 2¹⁴ = 101100021194317 is a prime.

It is a super-3 number, since 3×101100021210701³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 101100021210703, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100021210701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100021210703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550010605350 + 50550010605351.

It is an arithmetic number, because the mean of its divisors is an integer number (50550010605351).

Almost surely, 2^{101100021210701} is an apocalyptic number.

It is an amenable number.

101100021210701 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100021210701 is an equidigital number, since it uses as much as digits as its factorization.

101100021210701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 101100021210701 its reverse (107012120001101), we get a palindrome (208112141211802).

The spelling of 101100021210701 in words is "one hundred one trillion, one hundred billion, twenty-one million, two hundred ten thousand, seven hundred one".