1010121222112 has 192 divisors, whose sum is σ = 2211264921600. Its totient is φ = 452285130240.

The previous prime is 1010121222041. The next prime is 1010121222113. The reversal of 1010121222112 is 2112221210101.

It is a super-2 number, since 2×1010121222112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121222113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654646813 + ... + 654648355.

It is an arithmetic number, because the mean of its divisors is an integer number (11517004800).

Almost surely, 2^{1010121222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105632460800).

1010121222112 is an abundant number, since it is smaller than the sum of its proper divisors (1201143699488).

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

1010121222112 is a wasteful number, since it uses less digits than its factorization.

1010121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1010121222112 its reverse (2112221210101), we get a palindrome (3122342432213).

The spelling of 1010121222112 in words is "one trillion, ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".