10212122101122 has 128 divisors (see below), whose sum is σ = 24038490009600. Its totient is φ = 3208035716928.

The previous prime is 10212122101099. The next prime is 10212122101157. The reversal of 10212122101122 is 22110122121201.

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 = 10212122101095 and 10212122101104.

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, 100080613 + ... + 100182599.

It is an arithmetic number, because the mean of its divisors is an integer number (187800703200).

Almost surely, 2^{10212122101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212122101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019245004800).

10212122101122 is an abundant number, since it is smaller than the sum of its proper divisors (13826367908478).

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

10212122101122 is a wasteful number, since it uses less digits than its factorization.

10212122101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103557 (or 103551 counting only the distinct ones).

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

Adding to 10212122101122 its reverse (22110122121201), we get a palindrome (32322244222323).

The spelling of 10212122101122 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-two".