100101120200001 has 48 divisors (see below), whose sum is σ = 148278666856320. Its totient is φ = 65038810394880.

The previous prime is 100101120199991. The next prime is 100101120200017. The reversal of 100101120200001 is 100002021101001.

It is a happy number.

It is not a de Polignac number, because 100101120200001 - 2¹⁰ = 100101120198977 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100101120280001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399625285 + ... + 399875693.

It is an arithmetic number, because the mean of its divisors is an integer number (3089138892840).

Almost surely, 2^{100101120200001} is an apocalyptic number.

It is an amenable number.

100101120200001 is a deficient number, since it is larger than the sum of its proper divisors (48177546656319).

100101120200001 is a wasteful number, since it uses less digits than its factorization.

100101120200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252726 (or 252723 counting only the distinct ones).

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

Adding to 100101120200001 its reverse (100002021101001), we get a palindrome (200103141301002).

The spelling of 100101120200001 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, two hundred thousand, one".