1002102101220 has 96 divisors (see below), whose sum is σ = 3066625489536. Its totient is φ = 242484710400.

The previous prime is 1002102101197. The next prime is 1002102101227. The reversal of 1002102101220 is 221012012001.

It is a super-3 number, since 3×1002102101220³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002102101196 and 1002102101205.

It is not an unprimeable number, because it can be changed into a prime (1002102101227) 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 31 ways as a sum of consecutive naturals, for example, 1046209 + ... + 1760328.

It is an arithmetic number, because the mean of its divisors is an integer number (31944015516).

Almost surely, 2^{1002102101220} is an apocalyptic number.

1002102101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102101220 is an abundant number, since it is smaller than the sum of its proper divisors (2064523388316).

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

1002102101220 is a wasteful number, since it uses less digits than its factorization.

1002102101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807101 (or 2807099 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002102101220 its reverse (221012012001), we get a palindrome (1223114113221).

The spelling of 1002102101220 in words is "one trillion, two billion, one hundred two million, one hundred one thousand, two hundred twenty".