100210101112113 has 8 divisors (see below), whose sum is σ = 133613516254848. Its totient is φ = 66806710022064.

The previous prime is 100210101112073. The next prime is 100210101112181. The reversal of 100210101112113 is 311211101012001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100210101112113 - 2⁶ = 100210101112049 is a prime.

It is a super-2 number, since 2×100210101112113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210101112092 and 100210101112101.

It is not an unprimeable number, because it can be changed into a prime (100210101112013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9223720 + ... + 16896662.

It is an arithmetic number, because the mean of its divisors is an integer number (16701689531856).

Almost surely, 2^{100210101112113} is an apocalyptic number.

It is an amenable number.

100210101112113 is a deficient number, since it is larger than the sum of its proper divisors (33403415142735).

100210101112113 is an equidigital number, since it uses as much as digits as its factorization.

100210101112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026343.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100210101112113 its reverse (311211101012001), we get a palindrome (411421202124114).

The spelling of 100210101112113 in words is "one hundred trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred thirteen".