20100012100101 has 48 divisors (see below), whose sum is σ = 30052228377600. Its totient is φ = 12935489374080.

The previous prime is 20100012100057. The next prime is 20100012100111. The reversal of 20100012100101 is 10100121000102.

It is a happy number.

It is not a de Polignac number, because 20100012100101 - 2¹¹ = 20100012098053 is a prime.

It is a super-2 number, since 2×20100012100101² (a number of 27 digits) contains 22 as substring.

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 (20100012100111) 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 47 ways as a sum of consecutive naturals, for example, 209298771 + ... + 209394783.

It is an arithmetic number, because the mean of its divisors is an integer number (626088091200).

Almost surely, 2^{20100012100101} is an apocalyptic number.

It is an amenable number.

20100012100101 is a deficient number, since it is larger than the sum of its proper divisors (9952216277499).

20100012100101 is a wasteful number, since it uses less digits than its factorization.

20100012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100986 (or 100983 counting only the distinct ones).

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

Adding to 20100012100101 its reverse (10100121000102), we get a palindrome (30200133100203).

The spelling of 20100012100101 in words is "twenty trillion, one hundred billion, twelve million, one hundred thousand, one hundred one".