10202001019101 has 12 divisors (see below), whose sum is σ = 15134500010812. Its totient is φ = 6617514174336.

The previous prime is 10202001019097. The next prime is 10202001019141. The reversal of 10202001019101 is 10191010020201.

It is a happy number.

10202001019101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3680239376025 + 6521761643076 = 1918395^2 + 2553774^2 .

It is not a de Polignac number, because 10202001019101 - 2² = 10202001019097 is a prime.

It is a super-3 number, since 3×10202001019101³ (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 (10202001019141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15318319516 + ... + 15318320181.

Almost surely, 2^{10202001019101} is an apocalyptic number.

It is an amenable number.

10202001019101 is a deficient number, since it is larger than the sum of its proper divisors (4932498991711).

10202001019101 is a wasteful number, since it uses less digits than its factorization.

10202001019101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30636639740 (or 30636639737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10202001019101 its reverse (10191010020201), we get a palindrome (20393011039302).

The spelling of 10202001019101 in words is "ten trillion, two hundred two billion, one million, nineteen thousand, one hundred one".