200101102100001 has 24 divisors (see below), whose sum is σ = 289132719547776. Its totient is φ = 133355605430880.

The previous prime is 200101102099973. The next prime is 200101102100033. The reversal of 200101102100001 is 100001201101002.

It is a happy number.

It is not a de Polignac number, because 200101102100001 - 2⁹ = 200101102099489 is a prime.

It is a super-2 number, since 2×200101102100001² (a number of 29 digits) contains 22 as substring.

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 (200101102100401) 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, 377567466 + ... + 378097068.

It is an arithmetic number, because the mean of its divisors is an integer number (12047196647824).

Almost surely, 2^{200101102100001} is an apocalyptic number.

It is an amenable number.

200101102100001 is a deficient number, since it is larger than the sum of its proper divisors (89031617447775).

200101102100001 is a wasteful number, since it uses less digits than its factorization.

200101102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543733 (or 543730 counting only the distinct ones).

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

Adding to 200101102100001 its reverse (100001201101002), we get a palindrome (300102303201003).

The spelling of 200101102100001 in words is "two hundred trillion, one hundred one billion, one hundred two million, one hundred thousand, one".