100201210101 has 12 divisors (see below), whose sum is σ = 144881143680. Its totient is φ = 66733393320.

The previous prime is 100201210097. The next prime is 100201210103. The reversal of 100201210101 is 101012102001.

It is a happy number.

It is not a de Polignac number, because 100201210101 - 2² = 100201210097 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 (100201210103) 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 11 ways as a sum of consecutive naturals, for example, 5608371 + ... + 5626208.

It is an arithmetic number, because the mean of its divisors is an integer number (12073428640).

Almost surely, 2^100201210101 is an apocalyptic number.

It is an amenable number.

100201210101 is a deficient number, since it is larger than the sum of its proper divisors (44679933579).

100201210101 is a wasteful number, since it uses less digits than its factorization.

100201210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235576 (or 11235573 counting only the distinct ones).

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

Adding to 100201210101 its reverse (101012102001), we get a palindrome (201213312102).

The spelling of 100201210101 in words is "one hundred billion, two hundred one million, two hundred ten thousand, one hundred one".