2100001002101 has 16 divisors (see below), whose sum is σ = 2191060580544. Its totient is φ = 2010919956864.

The previous prime is 2100001002097. The next prime is 2100001002103. The reversal of 2100001002101 is 1012001000012.

It is a cyclic number.

It is not a de Polignac number, because 2100001002101 - 2² = 2100001002097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001002103) 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, 2626145 + ... + 3331161.

It is an arithmetic number, because the mean of its divisors is an integer number (136941286284).

Almost surely, 2^{2100001002101} is an apocalyptic number.

It is an amenable number.

2100001002101 is a deficient number, since it is larger than the sum of its proper divisors (91059578443).

2100001002101 is a wasteful number, since it uses less digits than its factorization.

2100001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706420.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100001002101 its reverse (1012001000012), we get a palindrome (3112002002113).

The spelling of 2100001002101 in words is "two trillion, one hundred billion, one million, two thousand, one hundred one".