10101112200101 has 8 divisors (see below), whose sum is σ = 10906085157240. Its totient is φ = 9300134146752.

The previous prime is 10101112200097. The next prime is 10101112200119. The reversal of 10101112200101 is 10100221110101.

It can be written as a sum of positive squares in 4 ways, for example, as 16486303201 + 10084625896900 = 128399^2 + 3175630^2 .

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 10101112200101 - 2² = 10101112200097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101112200131) 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, 998720690 + ... + 998730803.

It is an arithmetic number, because the mean of its divisors is an integer number (1363260644655).

Almost surely, 2^{10101112200101} is an apocalyptic number.

It is an amenable number.

10101112200101 is a deficient number, since it is larger than the sum of its proper divisors (804972957139).

10101112200101 is a wasteful number, since it uses less digits than its factorization.

10101112200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997451895.

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

Adding to 10101112200101 its reverse (10100221110101), we get a palindrome (20201333310202).

The spelling of 10101112200101 in words is "ten trillion, one hundred one billion, one hundred twelve million, two hundred thousand, one hundred one".