101111101000102 has 64 divisors (see below), whose sum is σ = 157880712729600. Its totient is φ = 48540622240000.

The previous prime is 101111101000097. The next prime is 101111101000121. The reversal of 101111101000102 is 201000101111101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457051977 + ... + 457273147.

It is an arithmetic number, because the mean of its divisors is an integer number (2466886136400).

Almost surely, 2^{101111101000102} is an apocalyptic number.

101111101000102 is a deficient number, since it is larger than the sum of its proper divisors (56769611729498).

101111101000102 is a wasteful number, since it uses less digits than its factorization.

101111101000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221853.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111101000102 its reverse (201000101111101), we get a palindrome (302111202111203).

The spelling of 101111101000102 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred two", and thus it is an aban number.