1020107006120 has 16 divisors (see below), whose sum is σ = 2295240763860. Its totient is φ = 408042802432.

The previous prime is 1020107006119. The next prime is 1020107006123. The reversal of 1020107006120 is 216007010201.

It can be written as a sum of positive squares in 2 ways, for example, as 1002894090916 + 17212915204 = 1001446^2 + 131198^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1020107006092 and 1020107006101.

It is not an unprimeable number, because it can be changed into a prime (1020107006123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12751337537 + ... + 12751337616.

Almost surely, 2^{1020107006120} is an apocalyptic number.

1020107006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020107006120 is an abundant number, since it is smaller than the sum of its proper divisors (1275133757740).

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

1020107006120 is a wasteful number, since it uses less digits than its factorization.

1020107006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25502675164 (or 25502675160 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 1020107006120 in words is "one trillion, twenty billion, one hundred seven million, six thousand, one hundred twenty".