10102200112101 has 16 divisors (see below), whose sum is σ = 13914873571328. Its totient is φ = 6512499932400.

The previous prime is 10102200112093. The next prime is 10102200112127. The reversal of 10102200112101 is 10121100220101.

It is not a de Polignac number, because 10102200112101 - 2³ = 10102200112093 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 (10102200112141) 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, 41950351 + ... + 42190476.

It is an arithmetic number, because the mean of its divisors is an integer number (869679598208).

Almost surely, 2^{10102200112101} is an apocalyptic number.

It is an amenable number.

10102200112101 is a deficient number, since it is larger than the sum of its proper divisors (3812673459227).

10102200112101 is a wasteful number, since it uses less digits than its factorization.

10102200112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84142152.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102200112101 its reverse (10121100220101), we get a palindrome (20223300332202).

The spelling of 10102200112101 in words is "ten trillion, one hundred two billion, two hundred million, one hundred twelve thousand, one hundred one".