101210102112101 has 2 divisors, whose sum is σ = 101210102112102. Its totient is φ = 101210102112100.

The previous prime is 101210102112059. The next prime is 101210102112199. The reversal of 101210102112101 is 101211201012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69771372761476 + 31438729350625 = 8352926^2 + 5607025^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210102112101 - 2¹⁸ = 101210101849957 is a prime.

It is a super-2 number, since 2×101210102112101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210102112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605051056050 + 50605051056051.

It is an arithmetic number, because the mean of its divisors is an integer number (50605051056051).

Almost surely, 2^{101210102112101} is an apocalyptic number.

It is an amenable number.

101210102112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210102112101 is an equidigital number, since it uses as much as digits as its factorization.

101210102112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101210102112101 its reverse (101211201012101), we get a palindrome (202421303124202).

The spelling of 101210102112101 in words is "one hundred one trillion, two hundred ten billion, one hundred two million, one hundred twelve thousand, one hundred one".