10100200010101 has 8 divisors (see below), whose sum is σ = 10518606819000. Its totient is φ = 9686468137920.

The previous prime is 10100200010099. The next prime is 10100200010111. The reversal of 10100200010101 is 10101000200101.

It can be written as a sum of positive squares in 4 ways, for example, as 2000170947076 + 8100029063025 = 1414274^2 + 2846055^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100200010101 - 2¹ = 10100200010099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200010111) 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, 1168729770 + ... + 1168738411.

It is an arithmetic number, because the mean of its divisors is an integer number (1314825852375).

Almost surely, 2^{10100200010101} is an apocalyptic number.

It is an amenable number.

10100200010101 is a deficient number, since it is larger than the sum of its proper divisors (418406808899).

10100200010101 is a wasteful number, since it uses less digits than its factorization.

10100200010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337468359.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100200010101 its reverse (10101000200101), we get a palindrome (20201200210202).

The spelling of 10100200010101 in words is "ten trillion, one hundred billion, two hundred million, ten thousand, one hundred one".