10121200101 has 32 divisors (see below), whose sum is σ = 15425441280. Its totient is φ = 6555587328.

The previous prime is 10121200049. The next prime is 10121200127. The reversal of 10121200101 is 10100212101.

It is a happy number.

It is not a de Polignac number, because 10121200101 - 2⁷ = 10121199973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121200601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144745 + ... + 202961.

It is an arithmetic number, because the mean of its divisors is an integer number (482045040).

Almost surely, 2^10121200101 is an apocalyptic number.

It is an amenable number.

10121200101 is a deficient number, since it is larger than the sum of its proper divisors (5304241179).

10121200101 is a wasteful number, since it uses less digits than its factorization.

10121200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58410 (or 58404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121200101 its reverse (10100212101), we get a palindrome (20221412202).

The spelling of 10121200101 in words is "ten billion, one hundred twenty-one million, two hundred thousand, one hundred one".