2101022002121 has 16 divisors (see below), whose sum is σ = 2405381889024. Its totient is φ = 1797718366464.

The previous prime is 2101022002109. The next prime is 2101022002133. The reversal of 2101022002121 is 1212002201012.

It is an interprime number because it is at equal distance from previous prime (2101022002109) and next prime (2101022002133).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101022002121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101022002096 and 2101022002105.

It is not an unprimeable number, because it can be changed into a prime (2101022002181) 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 15 ways as a sum of consecutive naturals, for example, 9046376 + ... + 9275718.

It is an arithmetic number, because the mean of its divisors is an integer number (150336368064).

Almost surely, 2^{2101022002121} is an apocalyptic number.

It is an amenable number.

2101022002121 is a deficient number, since it is larger than the sum of its proper divisors (304359886903).

2101022002121 is a wasteful number, since it uses less digits than its factorization.

2101022002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231640.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2101022002121 its reverse (1212002201012), we get a palindrome (3313024203133).

The spelling of 2101022002121 in words is "two trillion, one hundred one billion, twenty-two million, two thousand, one hundred twenty-one".