1020022010112 has 288 divisors, whose sum is σ = 3165392950272. Its totient is φ = 285548470272.

The previous prime is 1020022010101. The next prime is 1020022010153. The reversal of 1020022010112 is 2110102200201.

It is a super-2 number, since 2×1020022010112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258427723 + ... + 258431669.

It is an arithmetic number, because the mean of its divisors is an integer number (10990947744).

Almost surely, 2^{1020022010112} is an apocalyptic number.

1020022010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582696475136).

1020022010112 is an abundant number, since it is smaller than the sum of its proper divisors (2145370940160).

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

1020022010112 is an equidigital number, since it uses as much as digits as its factorization.

1020022010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020022010112 its reverse (2110102200201), we get a palindrome (3130124210313).

The spelling of 1020022010112 in words is "one trillion, twenty billion, twenty-two million, ten thousand, one hundred twelve".