101200111110101 has 4 divisors (see below), whose sum is σ = 101201196098604. Its totient is φ = 101199026121600.

The previous prime is 101200111110073. The next prime is 101200111110127. The reversal of 101200111110101 is 101011111002101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51228360445201 + 49971750664900 = 7157399^2 + 7069070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200111110101 - 2¹⁴ = 101200111093717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200111110151) 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, 542354330 + ... + 542540891.

It is an arithmetic number, because the mean of its divisors is an integer number (25300299024651).

Almost surely, 2^{101200111110101} is an apocalyptic number.

It is an amenable number.

101200111110101 is a deficient number, since it is larger than the sum of its proper divisors (1084988503).

101200111110101 is an equidigital number, since it uses as much as digits as its factorization.

101200111110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084988502.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101200111110101 its reverse (101011111002101), we get a palindrome (202211222112202).

The spelling of 101200111110101 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, one hundred ten thousand, one hundred one".