1000102120020 has 48 divisors (see below), whose sum is σ = 3111428819520. Its totient is φ = 266693898528.

The previous prime is 1000102120001. The next prime is 1000102120021. The reversal of 1000102120020 is 200212010001.

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 = 1000102119984 and 1000102120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926019942 + ... + 926021021.

It is an arithmetic number, because the mean of its divisors is an integer number (64821433740).

Almost surely, 2^{1000102120020} is an apocalyptic number.

1000102120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000102120020 is an abundant number, since it is smaller than the sum of its proper divisors (2111326699500).

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

1000102120020 is a wasteful number, since it uses less digits than its factorization.

1000102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852040981 (or 1852040973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000102120020 its reverse (200212010001), we get a palindrome (1200314130021).

The spelling of 1000102120020 in words is "one trillion, one hundred two million, one hundred twenty thousand, twenty".