210100102121021 has 16 divisors (see below), whose sum is σ = 240232503523584. Its totient is φ = 179997247471104.

The previous prime is 210100102120991. The next prime is 210100102121047. The reversal of 210100102121021 is 120121201001012.

It is a de Polignac number, because none of the positive numbers 2^k-210100102121021 is a prime.

It is a super-2 number, since 2×210100102121021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210100102120987 and 210100102121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100102121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117041165 + ... + 118822701.

It is an arithmetic number, because the mean of its divisors is an integer number (15014531470224).

Almost surely, 2^{210100102121021} is an apocalyptic number.

It is an amenable number.

210100102121021 is a deficient number, since it is larger than the sum of its proper divisors (30132401402563).

210100102121021 is a wasteful number, since it uses less digits than its factorization.

210100102121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789820.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210100102121021 its reverse (120121201001012), we get a palindrome (330221303122033).

The spelling of 210100102121021 in words is "two hundred ten trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand, twenty-one".