1102002012100 has 288 divisors, whose sum is σ = 2806470374400. Its totient is φ = 371367360000.

The previous prime is 1102002012077. The next prime is 1102002012101. The reversal of 1102002012100 is 12102002011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1102002012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194388066 + ... + 194393734.

It is an arithmetic number, because the mean of its divisors is an integer number (9744688800).

Almost surely, 2^{1102002012100} is an apocalyptic number.

1102002012100 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 1102002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403235187200).

1102002012100 is an abundant number, since it is smaller than the sum of its proper divisors (1704468362300).

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

1102002012100 is a wasteful number, since it uses less digits than its factorization.

1102002012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102002012100 its reverse (12102002011), we get a palindrome (1114104014111).

The spelling of 1102002012100 in words is "one trillion, one hundred two billion, two million, twelve thousand, one hundred".