1102121001000 has 384 divisors, whose sum is σ = 3858116520960. Its totient is φ = 283586688000.

The previous prime is 1102121000983. The next prime is 1102121001031. The reversal of 1102121001000 is 1001212011.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 30014652 + ... + 30051348.

It is an arithmetic number, because the mean of its divisors is an integer number (10047178440).

Almost surely, 2^{1102121001000} is an apocalyptic number.

1102121001000 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 1102121001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929058260480).

1102121001000 is an abundant number, since it is smaller than the sum of its proper divisors (2755995519960).

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

1102121001000 is a wasteful number, since it uses less digits than its factorization.

1102121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102121001000 its reverse (1001212011), we get a palindrome (1103122213011).

The spelling of 1102121001000 in words is "one trillion, one hundred two billion, one hundred twenty-one million, one thousand".