101122120012100 has 108 divisors (see below), whose sum is σ = 241223516725044. Its totient is φ = 36767660160000.

The previous prime is 101122120012093. The next prime is 101122120012127. The reversal of 101122120012100 is 1210021221101.

It can be written as a sum of positive squares in 6 ways, for example, as 20760361773316 + 80361758238784 = 4556354^2 + 8964472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111363920 + ... + 112268280.

Almost surely, 2^{101122120012100} is an apocalyptic number.

101122120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120611758362522).

101122120012100 is an abundant number, since it is smaller than the sum of its proper divisors (140101396712944).

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

101122120012100 is a wasteful number, since it uses less digits than its factorization.

101122120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913638 (or 913620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122120012100 its reverse (1210021221101), we get a palindrome (102332141233201).

The spelling of 101122120012100 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, twelve thousand, one hundred".