10001211100122 has 128 divisors (see below), whose sum is σ = 22973807121408. Its totient is φ = 2874902284800.

The previous prime is 10001211100103. The next prime is 10001211100187. The reversal of 10001211100122 is 22100111210001.

It is a junction number, because it is equal to n+sod(n) for n = 10001211100098 and 10001211100107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57351222 + ... + 57525342.

It is an arithmetic number, because the mean of its divisors is an integer number (179482868136).

Almost surely, 2^{10001211100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001211100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486903560704).

10001211100122 is an abundant number, since it is smaller than the sum of its proper divisors (12972596021286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001211100122 is a wasteful number, since it uses less digits than its factorization.

10001211100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174764.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001211100122 its reverse (22100111210001), we get a palindrome (32101322310123).

The spelling of 10001211100122 in words is "ten trillion, one billion, two hundred eleven million, one hundred thousand, one hundred twenty-two".