1102100021000 has 256 divisors, whose sum is σ = 3081586809600. Its totient is φ = 364180992000.

The previous prime is 1102100020993. The next prime is 1102100021023. The reversal of 1102100021000 is 1200012011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5321387 + ... + 5524613.

It is an arithmetic number, because the mean of its divisors is an integer number (12037448475).

Almost surely, 2^{1102100021000} is an apocalyptic number.

1102100021000 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 1102100021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540793404800).

1102100021000 is an abundant number, since it is smaller than the sum of its proper divisors (1979486788600).

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

1102100021000 is a wasteful number, since it uses less digits than its factorization.

1102100021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203305 (or 203291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102100021000 its reverse (1200012011), we get a palindrome (1103300033011).

The spelling of 1102100021000 in words is "one trillion, one hundred two billion, one hundred million, twenty-one thousand".