1002100101012 has 48 divisors (see below), whose sum is σ = 2633626871680. Its totient is φ = 329457564864.

The previous prime is 1002100101011. The next prime is 1002100101047. The reversal of 1002100101012 is 2101010012001.

It is a happy number.

It is a super-2 number, since 2×1002100101012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002100100985 and 1002100101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63544888 + ... + 63560655.

Almost surely, 2^{1002100101012} is an apocalyptic number.

1002100101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002100101012 is an abundant number, since it is smaller than the sum of its proper divisors (1631526770668).

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

1002100101012 is a wasteful number, since it uses less digits than its factorization.

1002100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127105629 (or 127105621 counting only the distinct ones).

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

Adding to 1002100101012 its reverse (2101010012001), we get a palindrome (3103110113013).

The spelling of 1002100101012 in words is "one trillion, two billion, one hundred million, one hundred one thousand, twelve".