101100121101012 has 96 divisors (see below), whose sum is σ = 258945794634240. Its totient is φ = 30445951178880.

The previous prime is 101100121101011. The next prime is 101100121101013. The reversal of 101100121101012 is 210101121001101.

It is an interprime number because it is at equal distance from previous prime (101100121101011) and next prime (101100121101013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100121101011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271195039 + ... + 271567577.

It is an arithmetic number, because the mean of its divisors is an integer number (2697352027440).

Almost surely, 2^{101100121101012} is an apocalyptic number.

101100121101012 is a gapful number since it is divisible by the number (12) 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 101100121101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129472897317120).

101100121101012 is an abundant number, since it is smaller than the sum of its proper divisors (157845673533228).

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

101100121101012 is a wasteful number, since it uses less digits than its factorization.

101100121101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385333 (or 385331 counting only the distinct ones).

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

Adding to 101100121101012 its reverse (210101121001101), we get a palindrome (311201242102113).

The spelling of 101100121101012 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, twelve".