1011101102102 has 96 divisors (see below), whose sum is σ = 1889310786048. Its totient is φ = 397358327808.

The previous prime is 1011101102059. The next prime is 1011101102107. The reversal of 1011101102102 is 2012011011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101102107) 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 47 ways as a sum of consecutive naturals, for example, 485405153 + ... + 485407235.

It is an arithmetic number, because the mean of its divisors is an integer number (19680320688).

Almost surely, 2^{1011101102102} is an apocalyptic number.

1011101102102 is a deficient number, since it is larger than the sum of its proper divisors (878209683946).

1011101102102 is a wasteful number, since it uses less digits than its factorization.

1011101102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3361 counting only the distinct ones).

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

Adding to 1011101102102 its reverse (2012011011101), we get a palindrome (3023112113203).

The spelling of 1011101102102 in words is "one trillion, eleven billion, one hundred one million, one hundred two thousand, one hundred two".