1002101121012 has 24 divisors (see below), whose sum is σ = 2348446592800. Its totient is φ = 332575043616.

The previous prime is 1002101120987. The next prime is 1002101121029. The reversal of 1002101121012 is 2101211012001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182330062 + ... + 182335557.

Almost surely, 2^{1002101121012} is an apocalyptic number.

1002101121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002101121012 is an abundant number, since it is smaller than the sum of its proper divisors (1346345471788).

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

1002101121012 is a wasteful number, since it uses less digits than its factorization.

1002101121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364665855 (or 364665853 counting only the distinct ones).

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

Adding to 1002101121012 its reverse (2101211012001), we get a palindrome (3103312133013).

The spelling of 1002101121012 in words is "one trillion, two billion, one hundred one million, one hundred twenty-one thousand, twelve".