2121102101 has 8 divisors (see below), whose sum is σ = 2154841920. Its totient is φ = 2087557312.

The previous prime is 2121102091. The next prime is 2121102103. The reversal of 2121102101 is 1012011212.

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 2121102101 - 2¹⁸ = 2120839957 is a prime.

It is a super-2 number, since 2×2121102101² = 8998148245733228402, which 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 (2121102103) 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, 26756 + ... + 70413.

It is an arithmetic number, because the mean of its divisors is an integer number (269355240).

Almost surely, 2^2121102101 is an apocalyptic number.

It is an amenable number.

2121102101 is a deficient number, since it is larger than the sum of its proper divisors (33739819).

2121102101 is an equidigital number, since it uses as much as digits as its factorization.

2121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97515.

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

The square root of 2121102101 is about 46055.4242299428. The cubic root of 2121102101 is about 1284.8542282420.

Adding to 2121102101 its reverse (1012011212), we get a palindrome (3133113313).

The spelling of 2121102101 in words is "two billion, one hundred twenty-one million, one hundred two thousand, one hundred one".