100101020201001 has 12 divisors (see below), whose sum is σ = 144591380907012. Its totient is φ = 66733543439136.

The previous prime is 100101020200991. The next prime is 100101020201023. The reversal of 100101020201001 is 100102020101001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87867282800025 + 12233737400976 = 9373755^2 + 3497676^2 .

It is not a de Polignac number, because 100101020201001 - 2³¹ = 100098872717353 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 (100101020201071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37817766 + ... + 40378031.

It is an arithmetic number, because the mean of its divisors is an integer number (12049281742251).

Almost surely, 2^{100101020201001} is an apocalyptic number.

It is an amenable number.

100101020201001 is a deficient number, since it is larger than the sum of its proper divisors (44490360706011).

100101020201001 is a wasteful number, since it uses less digits than its factorization.

100101020201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78338040 (or 78338037 counting only the distinct ones).

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

Adding to 100101020201001 its reverse (100102020101001), we get a palindrome (200203040302002).

The spelling of 100101020201001 in words is "one hundred trillion, one hundred one billion, twenty million, two hundred one thousand, one".