1022001102000 has 120 divisors (see below), whose sum is σ = 3569509245120. Its totient is φ = 272533622400.

The previous prime is 1022001101999. The next prime is 1022001102013. The reversal of 1022001102000 is 2011002201.

1022001102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28370920 + ... + 28406919.

It is an arithmetic number, because the mean of its divisors is an integer number (29745910376).

Almost surely, 2^{1022001102000} is an apocalyptic number.

1022001102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001102000 is an abundant number, since it is smaller than the sum of its proper divisors (2547508143120).

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

1022001102000 is a wasteful number, since it uses less digits than its factorization.

1022001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56777868 (or 56777849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022001102000 its reverse (2011002201), we get a palindrome (1024012104201).

The spelling of 1022001102000 in words is "one trillion, twenty-two billion, one million, one hundred two thousand".