1102202021000 has 256 divisors, whose sum is σ = 2868877440000. Its totient is φ = 394220851200.

The previous prime is 1102202020999. The next prime is 1102202021027. The reversal of 1102202021000 is 1202022011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58249541 + ... + 58268459.

It is an arithmetic number, because the mean of its divisors is an integer number (11206552500).

Almost surely, 2^{1102202021000} is an apocalyptic number.

1102202021000 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 1102202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434438720000).

1102202021000 is an abundant number, since it is smaller than the sum of its proper divisors (1766675419000).

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

1102202021000 is a wasteful number, since it uses less digits than its factorization.

1102202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19129 (or 19115 counting only the distinct ones).

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

Adding to 1102202021000 its reverse (1202022011), we get a palindrome (1103404043011).

The spelling of 1102202021000 in words is "one trillion, one hundred two billion, two hundred two million, twenty-one thousand".