20121000102101 has 8 divisors (see below), whose sum is σ = 20155611005208. Its totient is φ = 20086392960000.

The previous prime is 20121000102061. The next prime is 20121000102121. The reversal of 20121000102101 is 10120100012102.

It can be written as a sum of positive squares in 4 ways, for example, as 18080099284900 + 2040900817201 = 4252070^2 + 1428601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121000102101 - 2⁶ = 20121000102037 is a prime.

It is a super-2 number, since 2×20121000102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121000102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9875621 + ... + 11737541.

It is an arithmetic number, because the mean of its divisors is an integer number (2519451375651).

Almost surely, 2^{20121000102101} is an apocalyptic number.

It is an amenable number.

20121000102101 is a deficient number, since it is larger than the sum of its proper divisors (34610903107).

20121000102101 is a wasteful number, since it uses less digits than its factorization.

20121000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880503.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121000102101 its reverse (10120100012102), we get a palindrome (30241100114203).

The spelling of 20121000102101 in words is "twenty trillion, one hundred twenty-one billion, one hundred two thousand, one hundred one".