1000100200121 has 16 divisors (see below), whose sum is σ = 1095903768960. Its totient is φ = 905112309120.

The previous prime is 1000100200063. The next prime is 1000100200159. The reversal of 1000100200121 is 1210020010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000100200121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000100200099 and 1000100200108.

It is not an unprimeable number, because it can be changed into a prime (1000100200721) 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, 15034691 + ... + 15101063.

It is an arithmetic number, because the mean of its divisors is an integer number (68493985560).

Almost surely, 2^{1000100200121} is an apocalyptic number.

1000100200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000100200121 is a deficient number, since it is larger than the sum of its proper divisors (95803568839).

1000100200121 is a wasteful number, since it uses less digits than its factorization.

1000100200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72496.

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

Adding to 1000100200121 its reverse (1210020010001), we get a palindrome (2210120210122).

The spelling of 1000100200121 in words is "one trillion, one hundred million, two hundred thousand, one hundred twenty-one".