10201011012101 has 16 divisors (see below), whose sum is σ = 12742479894144. Its totient is φ = 7950664966464.

The previous prime is 10201011012061. The next prime is 10201011012119. The reversal of 10201011012101 is 10121011010201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201011012101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201011012121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836553770 + ... + 836565963.

It is an arithmetic number, because the mean of its divisors is an integer number (796404993384).

Almost surely, 2^{10201011012101} is an apocalyptic number.

It is an amenable number.

10201011012101 is a deficient number, since it is larger than the sum of its proper divisors (2541468882043).

10201011012101 is a wasteful number, since it uses less digits than its factorization.

10201011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673119820.

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

Adding to 10201011012101 its reverse (10121011010201), we get a palindrome (20322022022302).

The spelling of 10201011012101 in words is "ten trillion, two hundred one billion, eleven million, twelve thousand, one hundred one".