1020107006109 has 32 divisors (see below), whose sum is σ = 1604916368640. Its totient is φ = 638167735296.

The previous prime is 1020107006099. The next prime is 1020107006119. The reversal of 1020107006109 is 9016007010201.

1020107006109 is a `hidden beast` number, since 10 + 20 + 10 + 7 + 0 + 0 + 610 + 9 = 666.

1020107006109 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020107006099) and next prime (1020107006119).

It is not a de Polignac number, because 1020107006109 - 2⁹ = 1020107005597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020107006119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3142729 + ... + 3452094.

It is an arithmetic number, because the mean of its divisors is an integer number (50153636520).

Almost surely, 2^{1020107006109} is an apocalyptic number.

It is an amenable number.

1020107006109 is a deficient number, since it is larger than the sum of its proper divisors (584809362531).

1020107006109 is a wasteful number, since it uses less digits than its factorization.

1020107006109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595186 (or 6595180 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 1020107006109 in words is "one trillion, twenty billion, one hundred seven million, six thousand, one hundred nine".