1022010000000 has 1024 divisors, whose sum is σ = 3920614963200. Its totient is φ = 233280000000.

The previous prime is 1022009999987. The next prime is 1022010000001. The reversal of 1022010000000 is 102201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1022010000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6269999919 + ... + 6270000081.

It is an arithmetic number, because the mean of its divisors is an integer number (3828725550).

Almost surely, 2^{1022010000000} is an apocalyptic number.

1022010000000 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 1022010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960307481600).

1022010000000 is an abundant number, since it is smaller than the sum of its proper divisors (2898604963200).

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

1022010000000 is an frugal number, since it uses more digits than its factorization.

1022010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1022010000000 its reverse (102201), we get a palindrome (1022010102201).

1022010000000 divided by its reverse (102201) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 102 and 2010000000, that added together give a palindrome (2010000102).

The spelling of 1022010000000 in words is "one trillion, twenty-two billion, ten million", and thus it is an aban number and an uban number.