100201021000093 has 24 divisors (see below), whose sum is σ = 111514344315864. Its totient is φ = 89499694331520.

The previous prime is 100201021000043. The next prime is 100201021000141. The reversal of 100201021000093 is 390000120102001.

It can be written as a sum of positive squares in 4 ways, for example, as 18641825193924 + 81559195806169 = 4317618^2 + 9031013^2 .

It is not a de Polignac number, because 100201021000093 - 2³⁷ = 100063582046621 is a prime.

It is a super-2 number, since 2×100201021000093² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201021000093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201021000013) 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, 113659471 + ... + 114537667.

It is an arithmetic number, because the mean of its divisors is an integer number (4646431013161).

Almost surely, 2^{100201021000093} is an apocalyptic number.

100201021000093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100201021000093 is a deficient number, since it is larger than the sum of its proper divisors (11313323315771).

100201021000093 is an equidigital number, since it uses as much as digits as its factorization.

100201021000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887405 (or 887374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100201021000093 its reverse (390000120102001), we get a palindrome (490201141102094).

The spelling of 100201021000093 in words is "one hundred trillion, two hundred one billion, twenty-one million, ninety-three", and thus it is an aban number.