10200011200101 has 12 divisors (see below), whose sum is σ = 14734884200140. Its totient is φ = 6799299148800.

The previous prime is 10200011200087. The next prime is 10200011200103. The reversal of 10200011200101 is 10100211000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5017604480001 + 5182406720100 = 2240001^2 + 2276490^2 .

It is not a de Polignac number, because 10200011200101 - 2⁵ = 10200011200069 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200011200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58935286 + ... + 59108103.

Almost surely, 2^{10200011200101} is an apocalyptic number.

It is an amenable number.

10200011200101 is a deficient number, since it is larger than the sum of its proper divisors (4534873000039).

10200011200101 is a wasteful number, since it uses less digits than its factorization.

10200011200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118052996 (or 118052993 counting only the distinct ones).

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

Adding to 10200011200101 its reverse (10100211000201), we get a palindrome (20300222200302).

The spelling of 10200011200101 in words is "ten trillion, two hundred billion, eleven million, two hundred thousand, one hundred one".