10200001112001 has 8 divisors (see below), whose sum is σ = 15111112758560. Its totient is φ = 6800000741316.

The previous prime is 10200001111997. The next prime is 10200001112011. The reversal of 10200001112001 is 10021110000201.

It is a happy number.

It is not a de Polignac number, because 10200001112001 - 2² = 10200001111997 is a prime.

It is a super-3 number, since 3×10200001112001³ (a number of 40 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10200001112011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188888909455 + ... + 188888909508.

It is an arithmetic number, because the mean of its divisors is an integer number (1888889094820).

Almost surely, 2^{10200001112001} is an apocalyptic number.

It is an amenable number.

10200001112001 is a deficient number, since it is larger than the sum of its proper divisors (4911111646559).

10200001112001 is an equidigital number, since it uses as much as digits as its factorization.

10200001112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377777818972 (or 377777818966 counting only the distinct ones).

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

Adding to 10200001112001 its reverse (10021110000201), we get a palindrome (20221111112202).

The spelling of 10200001112001 in words is "ten trillion, two hundred billion, one million, one hundred twelve thousand, one".