2102121022101 has 8 divisors (see below), whose sum is σ = 2802880965504. Its totient is φ = 1401387546720.

The previous prime is 2102121022007. The next prime is 2102121022159. The reversal of 2102121022101 is 1012201212012.

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

It is not a de Polignac number, because 2102121022101 - 2²⁷ = 2101986804373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102121022181) 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, 6430941 + ... + 6749906.

It is an arithmetic number, because the mean of its divisors is an integer number (350360120688).

Almost surely, 2^{2102121022101} is an apocalyptic number.

It is an amenable number.

2102121022101 is a deficient number, since it is larger than the sum of its proper divisors (700759943403).

2102121022101 is a wasteful number, since it uses less digits than its factorization.

2102121022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234011.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102121022101 its reverse (1012201212012), we get a palindrome (3114322234113).

The spelling of 2102121022101 in words is "two trillion, one hundred two billion, one hundred twenty-one million, twenty-two thousand, one hundred one".