10201001112101 has 4 divisors (see below), whose sum is σ = 10214584336704. Its totient is φ = 10187417887500.

The previous prime is 10201001112089. The next prime is 10201001112103. The reversal of 10201001112101 is 10121110010201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10201001112101 - 2³⁰ = 10199927370277 is a prime.

It is a super-3 number, since 3×10201001112101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001112103) 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, 6791611175 + ... + 6791612676.

It is an arithmetic number, because the mean of its divisors is an integer number (2553646084176).

Almost surely, 2^{10201001112101} is an apocalyptic number.

It is an amenable number.

10201001112101 is a deficient number, since it is larger than the sum of its proper divisors (13583224603).

10201001112101 is an equidigital number, since it uses as much as digits as its factorization.

10201001112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583224602.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201001112101 its reverse (10121110010201), we get a palindrome (20322111122302).

The spelling of 10201001112101 in words is "ten trillion, two hundred one billion, one million, one hundred twelve thousand, one hundred one".