10122121211022 has 128 divisors (see below), whose sum is σ = 24314705971200. Its totient is φ = 3109593120768.

The previous prime is 10122121210969. The next prime is 10122121211023. The reversal of 10122121211022 is 22011212122101.

10122121211022 is a `hidden beast` number, since 101 + 221 + 212 + 110 + 22 = 666.

10122121211022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10122121210986 and 10122121211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122121211023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13556043 + ... + 14283225.

It is an arithmetic number, because the mean of its divisors is an integer number (189958640400).

Almost surely, 2^{10122121211022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122121211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157352985600).

10122121211022 is an abundant number, since it is smaller than the sum of its proper divisors (14192584760178).

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

10122121211022 is a wasteful number, since it uses less digits than its factorization.

10122121211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727527 (or 727521 counting only the distinct ones).

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

Adding to 10122121211022 its reverse (22011212122101), we get a palindrome (32133333333123).

The spelling of 10122121211022 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, twenty-two".