101201100021 has 24 divisors (see below), whose sum is σ = 174325706880. Its totient is φ = 55314886176.

The previous prime is 101201100019. The next prime is 101201100071. The reversal of 101201100021 is 120001102101.

It is a happy number.

It is not a de Polignac number, because 101201100021 - 2¹ = 101201100019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101201099976 and 101201100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34919566 + ... + 34922463.

It is an arithmetic number, because the mean of its divisors is an integer number (7263571120).

Almost surely, 2^101201100021 is an apocalyptic number.

It is an amenable number.

101201100021 is a deficient number, since it is larger than the sum of its proper divisors (73124606859).

101201100021 is a wasteful number, since it uses less digits than its factorization.

101201100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69842065 (or 69842062 counting only the distinct ones).

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

Adding to 101201100021 its reverse (120001102101), we get a palindrome (221202202122).

The spelling of 101201100021 in words is "one hundred one billion, two hundred one million, one hundred thousand, twenty-one".