101000110100021 has 8 divisors (see below), whose sum is σ = 110183723961600. Its totient is φ = 91816793850240.

The previous prime is 101000110099943. The next prime is 101000110100051. The reversal of 101000110100021 is 120001011000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000110100021 - 2²⁶ = 101000042991157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000110099981 and 101000110100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73693061 + ... + 75051098.

It is an arithmetic number, because the mean of its divisors is an integer number (13772965495200).

Almost surely, 2^{101000110100021} is an apocalyptic number.

101000110100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000110100021 is a deficient number, since it is larger than the sum of its proper divisors (9183613861579).

101000110100021 is a wasteful number, since it uses less digits than its factorization.

101000110100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148805899.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101000110100021 its reverse (120001011000101), we get a palindrome (221001121100122).

The spelling of 101000110100021 in words is "one hundred one trillion, one hundred ten million, one hundred thousand, twenty-one".