10100112102211 has 8 divisors (see below), whose sum is σ = 10250757170640. Its totient is φ = 9950156485632.

The previous prime is 10100112102191. The next prime is 10100112102221. The reversal of 10100112102211 is 11220121100101.

It is a happy number.

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 10100112102211 - 2³⁷ = 9962673148739 is a prime.

It is a super-2 number, since 2×10100112102211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100112102191 and 10100112102200.

It is not an unprimeable number, because it can be changed into a prime (10100112102221) 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, 172333446 + ... + 172392043.

It is an arithmetic number, because the mean of its divisors is an integer number (1281344646330).

Almost surely, 2^{10100112102211} is an apocalyptic number.

10100112102211 is a deficient number, since it is larger than the sum of its proper divisors (150645068429).

10100112102211 is an equidigital number, since it uses as much as digits as its factorization.

10100112102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344725925.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100112102211 its reverse (11220121100101), we get a palindrome (21320233202312).

The spelling of 10100112102211 in words is "ten trillion, one hundred billion, one hundred twelve million, one hundred two thousand, two hundred eleven".