210101100121 has 16 divisors (see below), whose sum is σ = 230366455488. Its totient is φ = 190030579200.

The previous prime is 210101100101. The next prime is 210101100127. The reversal of 210101100121 is 121001101012.

It is not a de Polignac number, because 210101100121 - 2²¹ = 210099002969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210101100098 and 210101100107.

It is not an unprimeable number, because it can be changed into a prime (210101100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545601 + ... + 7573393.

It is an arithmetic number, because the mean of its divisors is an integer number (14397903468).

Almost surely, 2^210101100121 is an apocalyptic number.

It is an amenable number.

210101100121 is a deficient number, since it is larger than the sum of its proper divisors (20265355367).

210101100121 is a wasteful number, since it uses less digits than its factorization.

210101100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31272.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210101100121 its reverse (121001101012), we get a palindrome (331102201133).

The spelling of 210101100121 in words is "two hundred ten billion, one hundred one million, one hundred thousand, one hundred twenty-one".