100201003001021 has 16 divisors (see below), whose sum is σ = 108514279516608. Its totient is φ = 91975422000000.

The previous prime is 100201003000951. The next prime is 100201003001041. The reversal of 100201003001021 is 120100300102001.

It is a cyclic number.

It is not a de Polignac number, because 100201003001021 - 2³⁸ = 99926125094077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201003000993 and 100201003001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201003001041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22871855 + ... + 26898396.

It is an arithmetic number, because the mean of its divisors is an integer number (6782142469788).

Almost surely, 2^{100201003001021} is an apocalyptic number.

It is an amenable number.

100201003001021 is a deficient number, since it is larger than the sum of its proper divisors (8313276515587).

100201003001021 is a wasteful number, since it uses less digits than its factorization.

100201003001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49771132.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100201003001021 its reverse (120100300102001), we get a palindrome (220301303103022).

The spelling of 100201003001021 in words is "one hundred trillion, two hundred one billion, three million, one thousand, twenty-one".