101200000210101 has 12 divisors (see below), whose sum is σ = 157422222549228. Its totient is φ = 62276923206144.

The previous prime is 101200000210087. The next prime is 101200000210117. The reversal of 101200000210101 is 101012000002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15687350447076 + 85512649763025 = 3960726^2 + 9247305^2 .

It is not a de Polignac number, because 101200000210101 - 2⁵ = 101200000210069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200000210181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432478633260 + ... + 432478633493.

It is an arithmetic number, because the mean of its divisors is an integer number (13118518545769).

Almost surely, 2^{101200000210101} is an apocalyptic number.

It is an amenable number.

101200000210101 is a deficient number, since it is larger than the sum of its proper divisors (56222222339127).

101200000210101 is a wasteful number, since it uses less digits than its factorization.

101200000210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864957266772 (or 864957266769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101200000210101 its reverse (101012000002101), we get a palindrome (202212000212202).

The spelling of 101200000210101 in words is "one hundred one trillion, two hundred billion, two hundred ten thousand, one hundred one".