100101000201201 has 24 divisors (see below), whose sum is σ = 145000385566400. Its totient is φ = 66544851722976.

The previous prime is 100101000201179. The next prime is 100101000201233. The reversal of 100101000201201 is 102102000101001.

It is a happy number.

It is not a de Polignac number, because 100101000201201 - 2¹⁴ = 100101000184817 is a prime.

It is a super-3 number, since 3×100101000201201³ (a number of 43 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101000201271) 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, 6872700 + ... + 15730098.

Almost surely, 2^{100101000201201} is an apocalyptic number.

It is an amenable number.

100101000201201 is a deficient number, since it is larger than the sum of its proper divisors (44899385365199).

100101000201201 is a wasteful number, since it uses less digits than its factorization.

100101000201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860965 (or 8860962 counting only the distinct ones).

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

Adding to 100101000201201 its reverse (102102000101001), we get a palindrome (202203000302202).

The spelling of 100101000201201 in words is "one hundred trillion, one hundred one billion, two hundred one thousand, two hundred one".