1102101000007 has 16 divisors (see below), whose sum is σ = 1285576185600. Its totient is φ = 944417504184.

The previous prime is 1102101000001. The next prime is 1102101000031. The reversal of 1102101000007 is 7000001012011.

It is a de Polignac number, because none of the positive numbers 2^k-1102101000007 is a prime.

It is a super-2 number, since 2×1102101000007² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946788 + ... + 1760854.

It is an arithmetic number, because the mean of its divisors is an integer number (80348511600).

Almost surely, 2^{1102101000007} is an apocalyptic number.

1102101000007 is a deficient number, since it is larger than the sum of its proper divisors (183475185593).

1102101000007 is an frugal number, since it uses more digits than its factorization.

1102101000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818035 (or 818021 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1102101000007 its reverse (7000001012011), we get a palindrome (8102102012018).

The spelling of 1102101000007 in words is "one trillion, one hundred two billion, one hundred one million, seven", and thus it is an aban number.