1020102022120 has 64 divisors (see below), whose sum is σ = 2350850040000. Its totient is φ = 398170848768.

The previous prime is 1020102022091. The next prime is 1020102022157. The reversal of 1020102022120 is 212202010201.

It is a happy number.

1020102022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1020102022120.

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, 1521591 + ... + 2086969.

It is an arithmetic number, because the mean of its divisors is an integer number (36732031875).

Almost surely, 2^{1020102022120} is an apocalyptic number.

1020102022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175425020000).

1020102022120 is an abundant number, since it is smaller than the sum of its proper divisors (1330748017880).

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

1020102022120 is a wasteful number, since it uses less digits than its factorization.

1020102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566482 (or 566478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020102022120 its reverse (212202010201), we get a palindrome (1232304032321).

The spelling of 1020102022120 in words is "one trillion, twenty billion, one hundred two million, twenty-two thousand, one hundred twenty".