1020212111120 has 40 divisors (see below), whose sum is σ = 2372316417240. Its totient is φ = 408029230080.

The previous prime is 1020212111077. The next prime is 1020212111173. The reversal of 1020212111120 is 211112120201.

It can be written as a sum of positive squares in 4 ways, for example, as 566081683456 + 454130427664 = 752384^2 + 673892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1020212111095 and 1020212111104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275771 + ... + 1454810.

It is an arithmetic number, because the mean of its divisors is an integer number (59307910431).

Almost surely, 2^{1020212111120} is an apocalyptic number.

1020212111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212111120 is an abundant number, since it is smaller than the sum of its proper divisors (1352104306120).

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

1020212111120 is a wasteful number, since it uses less digits than its factorization.

1020212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737963 (or 1737957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020212111120 its reverse (211112120201), we get a palindrome (1231324231321).

The spelling of 1020212111120 in words is "one trillion, twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".