1000100102121 has 20 divisors (see below), whose sum is σ = 1496658947652. Its totient is φ = 665536363488.

The previous prime is 1000100102117. The next prime is 1000100102137. The reversal of 1000100102121 is 1212010010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 454459346496 + 545640755625 = 674136^2 + 738675^2 .

It is not a de Polignac number, because 1000100102121 - 2² = 1000100102117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000100102161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11038290 + ... + 11128523.

Almost surely, 2^{1000100102121} is an apocalyptic number.

It is an amenable number.

1000100102121 is a deficient number, since it is larger than the sum of its proper divisors (496558845531).

1000100102121 is an equidigital number, since it uses as much as digits as its factorization.

1000100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167382 (or 22167373 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000100102121 its reverse (1212010010001), we get a palindrome (2212110112122).

The spelling of 1000100102121 in words is "one trillion, one hundred million, one hundred two thousand, one hundred twenty-one".