1002121112100 has 72 divisors (see below), whose sum is σ = 2899793463840. Its totient is φ = 267202522880.

The previous prime is 1002121112099. The next prime is 1002121112101. The reversal of 1002121112100 is 12111212001.

It is an interprime number because it is at equal distance from previous prime (1002121112099) and next prime (1002121112101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1002121112101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2579416 + ... + 2942384.

It is an arithmetic number, because the mean of its divisors is an integer number (40274909220).

Almost surely, 2^{1002121112100} is an apocalyptic number.

1002121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002121112100 is an abundant number, since it is smaller than the sum of its proper divisors (1897672351740).

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

1002121112100 is a wasteful number, since it uses less digits than its factorization.

1002121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372189 (or 372182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002121112100 its reverse (12111212001), we get a palindrome (1014232324101).

Subtracting from 1002121112100 its reverse (12111212001), we obtain a palindrome (990009900099).

The spelling of 1002121112100 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".