10211221012122 has 96 divisors (see below), whose sum is σ = 24039532088208. Its totient is φ = 3113894780928.

The previous prime is 10211221012099. The next prime is 10211221012123. The reversal of 10211221012122 is 22121012211201.

It can be written as a sum of positive squares in 8 ways, for example, as 6676027607601 + 3535193404521 = 2583801^2 + 1880211^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211221012095 and 10211221012104.

It is not an unprimeable number, because it can be changed into a prime (10211221012123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12434938 + ... + 13230650.

Almost surely, 2^{10211221012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211221012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019766044104).

10211221012122 is an abundant number, since it is smaller than the sum of its proper divisors (13828311076086).

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

10211221012122 is a wasteful number, since it uses less digits than its factorization.

10211221012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796224 (or 796221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211221012122 its reverse (22121012211201), we get a palindrome (32332233223323).

The spelling of 10211221012122 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".