100202120001 has 24 divisors (see below), whose sum is σ = 153478171080. Its totient is φ = 62778433536.

The previous prime is 100202119987. The next prime is 100202120009. The reversal of 100202120001 is 100021202001.

It can be written as a sum of positive squares in 4 ways, for example, as 33141838401 + 67060281600 = 182049^2 + 258960^2 .

It is not a de Polignac number, because 100202120001 - 2¹³ = 100202111809 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 (100202120009) 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, 383596 + ... + 589533.

It is an arithmetic number, because the mean of its divisors is an integer number (6394923795).

Almost surely, 2^100202120001 is an apocalyptic number.

It is an amenable number.

100202120001 is a deficient number, since it is larger than the sum of its proper divisors (53276051079).

100202120001 is a wasteful number, since it uses less digits than its factorization.

100202120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973825 (or 973822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202120001 its reverse (100021202001), we get a palindrome (200223322002).

The spelling of 100202120001 in words is "one hundred billion, two hundred two million, one hundred twenty thousand, one".