1022111102000 has 160 divisors (see below), whose sum is σ = 2490844397184. Its totient is φ = 405651456000.

The previous prime is 1022111101931. The next prime is 1022111102009. The reversal of 1022111102000 is 2011112201.

It is a super-2 number, since 2×1022111102000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022111102009) 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, 135178220 + ... + 135185780.

Almost surely, 2^{1022111102000} is an apocalyptic number.

1022111102000 is a gapful number since it is divisible by the number (10) 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 1022111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245422198592).

1022111102000 is an abundant number, since it is smaller than the sum of its proper divisors (1468733295184).

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

1022111102000 is a wasteful number, since it uses less digits than its factorization.

1022111102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022111102000 its reverse (2011112201), we get a palindrome (1024122214201).

The spelling of 1022111102000 in words is "one trillion, twenty-two billion, one hundred eleven million, one hundred two thousand".