10211121102 has 128 divisors (see below), whose sum is σ = 25924147200. Its totient is φ = 2609127936.

The previous prime is 10211121023. The next prime is 10211121133. The reversal of 10211121102 is 20112111201.

It is a congruent number.

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, 5433399 + ... + 5435277.

It is an arithmetic number, because the mean of its divisors is an integer number (202532400).

Almost surely, 2^10211121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962073600).

10211121102 is an abundant number, since it is smaller than the sum of its proper divisors (15713026098).

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

10211121102 is a wasteful number, since it uses less digits than its factorization.

10211121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210.

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

Adding to 10211121102 its reverse (20112111201), we get a palindrome (30323232303).

Subtracting 10211121102 from its reverse (20112111201), we obtain a palindrome (9900990099).

It can be divided in two parts, 10 and 211121102, that added together give a palindrome (211121112).

The spelling of 10211121102 in words is "ten billion, two hundred eleven million, one hundred twenty-one thousand, one hundred two".