10020012100101 has 8 divisors (see below), whose sum is σ = 14844462370560. Its totient is φ = 6680008066716.

The previous prime is 10020012100093. The next prime is 10020012100151. The reversal of 10020012100101 is 10100121002001.

It is a happy number.

It is not a de Polignac number, because 10020012100101 - 2³ = 10020012100093 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 (10020012100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185555779605 + ... + 185555779658.

It is an arithmetic number, because the mean of its divisors is an integer number (1855557796320).

Almost surely, 2^{10020012100101} is an apocalyptic number.

It is an amenable number.

10020012100101 is a deficient number, since it is larger than the sum of its proper divisors (4824450270459).

10020012100101 is an equidigital number, since it uses as much as digits as its factorization.

10020012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371111559272 (or 371111559266 counting only the distinct ones).

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

Adding to 10020012100101 its reverse (10100121002001), we get a palindrome (20120133102102).

The spelling of 10020012100101 in words is "ten trillion, twenty billion, twelve million, one hundred thousand, one hundred one".