1001000102120 has 16 divisors (see below), whose sum is σ = 2252250229860. Its totient is φ = 400400040832.

The previous prime is 1001000102083. The next prime is 1001000102143. The reversal of 1001000102120 is 212010001001.

It can be written as a sum of positive squares in 2 ways, for example, as 1000884195364 + 115906756 = 1000442^2 + 10766^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001000102098 and 1001000102107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12512501237 + ... + 12512501316.

Almost surely, 2^{1001000102120} is an apocalyptic number.

1001000102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000102120 is an abundant number, since it is smaller than the sum of its proper divisors (1251250127740).

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

1001000102120 is a wasteful number, since it uses less digits than its factorization.

1001000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25025002564 (or 25025002560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001000102120 its reverse (212010001001), we get a palindrome (1213010103121).

The spelling of 1001000102120 in words is "one trillion, one billion, one hundred two thousand, one hundred twenty".