10200101110101 has 36 divisors (see below), whose sum is σ = 17887012073632. Its totient is φ = 5485768654464.

The previous prime is 10200101110081. The next prime is 10200101110139. The reversal of 10200101110101 is 10101110100201.

It is not a de Polignac number, because 10200101110101 - 2⁶ = 10200101110037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200101112101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280096615 + ... + 280133028.

Almost surely, 2^{10200101110101} is an apocalyptic number.

It is an amenable number.

10200101110101 is a deficient number, since it is larger than the sum of its proper divisors (7686910963531).

10200101110101 is a wasteful number, since it uses less digits than its factorization.

10200101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560229690 (or 560229670 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10200101110101 its reverse (10101110100201), we get a palindrome (20301211210302).

The spelling of 10200101110101 in words is "ten trillion, two hundred billion, one hundred one million, one hundred ten thousand, one hundred one".