2100020210101 has 16 divisors (see below), whose sum is σ = 2422320445440. Its totient is φ = 1800519358320.

The previous prime is 2100020210077. The next prime is 2100020210107. The reversal of 2100020210101 is 1010120200012.

It is not a de Polignac number, because 2100020210101 - 2¹¹ = 2100020208053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100020210107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22482415 + ... + 22575628.

It is an arithmetic number, because the mean of its divisors is an integer number (151395027840).

Almost surely, 2^{2100020210101} is an apocalyptic number.

It is an amenable number.

2100020210101 is a deficient number, since it is larger than the sum of its proper divisors (322300235339).

2100020210101 is a wasteful number, since it uses less digits than its factorization.

2100020210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45058296.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100020210101 its reverse (1010120200012), we get a palindrome (3110140410113).

The spelling of 2100020210101 in words is "two trillion, one hundred billion, twenty million, two hundred ten thousand, one hundred one".