101100122112102 has 32 divisors (see below), whose sum is σ = 206903807797632. Its totient is φ = 32916122777664.

The previous prime is 101100122112053. The next prime is 101100122112107. The reversal of 101100122112102 is 201211221001101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100122112107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45907698 + ... + 48059514.

It is an arithmetic number, because the mean of its divisors is an integer number (6465743993676).

Almost surely, 2^{101100122112102} is an apocalyptic number.

101100122112102 is an abundant number, since it is smaller than the sum of its proper divisors (105803685685530).

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

101100122112102 is a wasteful number, since it uses less digits than its factorization.

101100122112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333972.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101100122112102 its reverse (201211221001101), we get a palindrome (302311343113203).

The spelling of 101100122112102 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred two".