1001101112102 has 16 divisors (see below), whose sum is σ = 1848186668832. Its totient is φ = 396040000320.

The previous prime is 1001101112071. The next prime is 1001101112131. The reversal of 1001101112102 is 2012111011001.

It is a super-2 number, since 2×1001101112102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2750277599 + ... + 2750277962.

It is an arithmetic number, because the mean of its divisors is an integer number (115511666802).

Almost surely, 2^{1001101112102} is an apocalyptic number.

1001101112102 is a deficient number, since it is larger than the sum of its proper divisors (847085556730).

1001101112102 is a wasteful number, since it uses less digits than its factorization.

1001101112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500555583.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001101112102 its reverse (2012111011001), we get a palindrome (3013212123103).

The spelling of 1001101112102 in words is "one trillion, one billion, one hundred one million, one hundred twelve thousand, one hundred two".