10100012121101 has 24 divisors (see below), whose sum is σ = 12342100377600. Its totient is φ = 8225179603872.

The previous prime is 10100012121097. The next prime is 10100012121103. The reversal of 10100012121101 is 10112121000101.

It is not a de Polignac number, because 10100012121101 - 2² = 10100012121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29905421 + ... + 30241266.

It is an arithmetic number, because the mean of its divisors is an integer number (514254182400).

Almost surely, 2^{10100012121101} is an apocalyptic number.

It is an amenable number.

10100012121101 is a deficient number, since it is larger than the sum of its proper divisors (2242088256499).

10100012121101 is a wasteful number, since it uses less digits than its factorization.

10100012121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60146873 (or 60146866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100012121101 its reverse (10112121000101), we get a palindrome (20212133121202).

The spelling of 10100012121101 in words is "ten trillion, one hundred billion, twelve million, one hundred twenty-one thousand, one hundred one".