100210101112111 has 16 divisors (see below), whose sum is σ = 100578096964800. Its totient is φ = 99842848119040.

The previous prime is 100210101112073. The next prime is 100210101112181. The reversal of 100210101112111 is 111211101012001.

It is a cyclic number.

It is not a de Polignac number, because 100210101112111 - 2⁹ = 100210101111599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210101112091 and 100210101112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210101112181) 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, 1795305075 + ... + 1795360891.

It is an arithmetic number, because the mean of its divisors is an integer number (6286131060300).

Almost surely, 2^{100210101112111} is an apocalyptic number.

100210101112111 is a deficient number, since it is larger than the sum of its proper divisors (367995852689).

100210101112111 is an equidigital number, since it uses as much as digits as its factorization.

100210101112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62354.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100210101112111 its reverse (111211101012001), we get a palindrome (211421202124112).

The spelling of 100210101112111 in words is "one hundred trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred eleven".