100211021121113 has 8 divisors (see below), whose sum is σ = 114527039641728. Its totient is φ = 85895042190624.

The previous prime is 100211021121103. The next prime is 100211021121163. The reversal of 100211021121113 is 311121120112001.

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

It is a cyclic number.

It is not a de Polignac number, because 100211021121113 - 2⁴ = 100211021121097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211021121091 and 100211021121100.

It is not an unprimeable number, because it can be changed into a prime (100211021121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4259381 + ... + 14783922.

It is an arithmetic number, because the mean of its divisors is an integer number (14315879955216).

Almost surely, 2^{100211021121113} is an apocalyptic number.

It is an amenable number.

100211021121113 is a deficient number, since it is larger than the sum of its proper divisors (14316018520615).

100211021121113 is an equidigital number, since it uses as much as digits as its factorization.

100211021121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19795063.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100211021121113 its reverse (311121120112001), we get a palindrome (411332141233114).

The spelling of 100211021121113 in words is "one hundred trillion, two hundred eleven billion, twenty-one million, one hundred twenty-one thousand, one hundred thirteen".