21101310100101 has 64 divisors (see below), whose sum is σ = 36499754704896. Its totient is φ = 10526066803200.

The previous prime is 21101310100061. The next prime is 21101310100103. The reversal of 21101310100101 is 10100101310112.

It is not a de Polignac number, because 21101310100101 - 2⁹ = 21101310099589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101310100103) 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 63 ways as a sum of consecutive naturals, for example, 17760120 + ... + 18910961.

It is an arithmetic number, because the mean of its divisors is an integer number (570308667264).

Almost surely, 2^{21101310100101} is an apocalyptic number.

21101310100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101310100101 is a deficient number, since it is larger than the sum of its proper divisors (15398444604795).

21101310100101 is a wasteful number, since it uses less digits than its factorization.

21101310100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36671202.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21101310100101 its reverse (10100101310112), we get a palindrome (31201411410213).

The spelling of 21101310100101 in words is "twenty-one trillion, one hundred one billion, three hundred ten million, one hundred thousand, one hundred one".