100202020210201 has 64 divisors (see below), whose sum is σ = 137457502156800. Its totient is φ = 70687428903936.

The previous prime is 100202020210199. The next prime is 100202020210231. The reversal of 100202020210201 is 102012020202001.

It is a happy number.

It is not a de Polignac number, because 100202020210201 - 2¹ = 100202020210199 is a prime.

It is a super-3 number, since 3×100202020210201³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100202020210231) 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 63 ways as a sum of consecutive naturals, for example, 1330260126 + ... + 1330335448.

It is an arithmetic number, because the mean of its divisors is an integer number (2147773471200).

Almost surely, 2^{100202020210201} is an apocalyptic number.

It is an amenable number.

100202020210201 is a deficient number, since it is larger than the sum of its proper divisors (37255481946599).

100202020210201 is a wasteful number, since it uses less digits than its factorization.

100202020210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120638.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202020210201 its reverse (102012020202001), we get a palindrome (202214040412202).

The spelling of 100202020210201 in words is "one hundred trillion, two hundred two billion, twenty million, two hundred ten thousand, two hundred one".