1020222011000 has 128 divisors (see below), whose sum is σ = 2427667744320. Its totient is φ = 401198400000.

The previous prime is 1020222010991. The next prime is 1020222011057. The reversal of 1020222011000 is 1102220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203188490 + ... + 203193510.

Almost surely, 2^{1020222011000} is an apocalyptic number.

1020222011000 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 1020222011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213833872160).

1020222011000 is an abundant number, since it is smaller than the sum of its proper divisors (1407445733320).

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

1020222011000 is a wasteful number, since it uses less digits than its factorization.

1020222011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020222011000 its reverse (1102220201), we get a palindrome (1021324231201).

The spelling of 1020222011000 in words is "one trillion, twenty billion, two hundred twenty-two million, eleven thousand".