2000100102121 has 16 divisors (see below), whose sum is σ = 2190440880000. Its totient is φ = 1811191782400.

The previous prime is 2000100102071. The next prime is 2000100102137. The reversal of 2000100102121 is 1212010010002.

It is not a de Polignac number, because 2000100102121 - 2¹⁵ = 2000100069353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000100102098 and 2000100102107.

It is not an unprimeable number, because it can be changed into a prime (2000100112121) 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, 2620431 + ... + 3296491.

It is an arithmetic number, because the mean of its divisors is an integer number (136902555000).

Almost surely, 2^{2000100102121} is an apocalyptic number.

It is an amenable number.

2000100102121 is a deficient number, since it is larger than the sum of its proper divisors (190340777879).

2000100102121 is a wasteful number, since it uses less digits than its factorization.

2000100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677120.

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

Adding to 2000100102121 its reverse (1212010010002), we get a palindrome (3212110112123).

The spelling of 2000100102121 in words is "two trillion, one hundred million, one hundred two thousand, one hundred twenty-one".