210010002100101 has 24 divisors (see below), whose sum is σ = 351432262708800. Its totient is φ = 118361801572416.

The previous prime is 210010002100097. The next prime is 210010002100103. The reversal of 210010002100101 is 101001200010012.

It is a happy number.

It is not a de Polignac number, because 210010002100101 - 2² = 210010002100097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010002100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22832133051 + ... + 22832142248.

It is an arithmetic number, because the mean of its divisors is an integer number (14643010946200).

Almost surely, 2^{210010002100101} is an apocalyptic number.

210010002100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210010002100101 is a deficient number, since it is larger than the sum of its proper divisors (141422260608699).

210010002100101 is a wasteful number, since it uses less digits than its factorization.

210010002100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45664275385 (or 45664275382 counting only the distinct ones).

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

Adding to 210010002100101 its reverse (101001200010012), we get a palindrome (311011202110113).

The spelling of 210010002100101 in words is "two hundred ten trillion, ten billion, two million, one hundred thousand, one hundred one".