1002110121100 has 36 divisors (see below), whose sum is σ = 2372267962008. Its totient is φ = 364403680000.

The previous prime is 1002110121083. The next prime is 1002110121121. The reversal of 1002110121100 is 11210112001.

1002110121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002110121100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455503501 + ... + 455505700.

It is an arithmetic number, because the mean of its divisors is an integer number (65896332278).

Almost surely, 2^{1002110121100} is an apocalyptic number.

1002110121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002110121100 is an abundant number, since it is smaller than the sum of its proper divisors (1370157840908).

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

1002110121100 is a wasteful number, since it uses less digits than its factorization.

1002110121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911009226 (or 911009219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002110121100 its reverse (11210112001), we get a palindrome (1013320233101).

Subtracting from 1002110121100 its reverse (11210112001), we obtain a palindrome (990900009099).

The spelling of 1002110121100 in words is "one trillion, two billion, one hundred ten million, one hundred twenty-one thousand, one hundred".