10121200000101 has 14 divisors (see below), whose sum is σ = 15174858163110. Its totient is φ = 6747466666248.

The previous prime is 10121200000081. The next prime is 10121200000111. The reversal of 10121200000101 is 10100000212101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7565195240100 + 2556004760001 = 2750490^2 + 1598751^2 .

It is not a de Polignac number, because 10121200000101 - 2¹⁴ = 10121199983717 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 (10121200000111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6941837406 + ... + 6941838863.

Almost surely, 2^{10121200000101} is an apocalyptic number.

It is an amenable number.

10121200000101 is a deficient number, since it is larger than the sum of its proper divisors (5053658163009).

10121200000101 is an frugal number, since it uses more digits than its factorization.

10121200000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13883676287 (or 13883676272 counting only the distinct ones).

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

Adding to 10121200000101 its reverse (10100000212101), we get a palindrome (20221200212202).

The spelling of 10121200000101 in words is "ten trillion, one hundred twenty-one billion, two hundred million, one hundred one", and thus it is an aban number.