210010002121101 has 64 divisors (see below), whose sum is σ = 353963382596096. Its totient is φ = 107775360000000.

The previous prime is 210010002121099. The next prime is 210010002121111. The reversal of 210010002121101 is 101121200010012.

It is not a de Polignac number, because 210010002121101 - 2¹ = 210010002121099 is a prime.

210010002121101 is a modest number, since divided by 2121101 gives 2100100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010002121111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211636101 + ... + 212626101.

It is an arithmetic number, because the mean of its divisors is an integer number (5530677853064).

Almost surely, 2^{210010002121101} is an apocalyptic number.

210010002121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210010002121101 is a deficient number, since it is larger than the sum of its proper divisors (143953380474995).

210010002121101 is a wasteful number, since it uses less digits than its factorization.

210010002121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011062.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210010002121101 its reverse (101121200010012), we get a palindrome (311131202131113).

The spelling of 210010002121101 in words is "two hundred ten trillion, ten billion, two million, one hundred twenty-one thousand, one hundred one".