101101100112102 has 64 divisors (see below), whose sum is σ = 225164083544064. Its totient is φ = 30100059601920.

The previous prime is 101101100112097. The next prime is 101101100112113. The reversal of 101101100112102 is 201211001101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169367799 + ... + 169963682.

It is an arithmetic number, because the mean of its divisors is an integer number (3518188805376).

Almost surely, 2^{101101100112102} is an apocalyptic number.

101101100112102 is an abundant number, since it is smaller than the sum of its proper divisors (124062983431962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101100112102 is a wasteful number, since it uses less digits than its factorization.

101101100112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339331653.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101100112102 its reverse (201211001101101), we get a palindrome (302312101213203).

The spelling of 101101100112102 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred twelve thousand, one hundred two".