10002020211120 has 80 divisors (see below), whose sum is σ = 35435728753920. Its totient is φ = 2286176047872.

The previous prime is 10002020211119. The next prime is 10002020211137. The reversal of 10002020211120 is 2111202020001.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10002020211096 and 10002020211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2976790050 + ... + 2976793409.

It is an arithmetic number, because the mean of its divisors is an integer number (442946609424).

Almost surely, 2^{10002020211120} is an apocalyptic number.

10002020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002020211120 is an abundant number, since it is smaller than the sum of its proper divisors (25433708542800).

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

10002020211120 is a wasteful number, since it uses less digits than its factorization.

10002020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953583482 (or 5953583476 counting only the distinct ones).

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

Adding to 10002020211120 its reverse (2111202020001), we get a palindrome (12113222231121).

The spelling of 10002020211120 in words is "ten trillion, two billion, twenty million, two hundred eleven thousand, one hundred twenty".