101200001121310 has 1024 divisors, whose sum is σ = 261827639377920. Its totient is φ = 27231815761920.

The previous prime is 101200001121277. The next prime is 101200001121311. The reversal of 101200001121310 is 13121100002101.

It is a happy number.

It is a super-2 number, since 2×101200001121310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200001121311) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 107545165440 + ... + 107545166380.

It is an arithmetic number, because the mean of its divisors is an integer number (255691054080).

Almost surely, 2^{101200001121310} is an apocalyptic number.

101200001121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200001121310 is an abundant number, since it is smaller than the sum of its proper divisors (160627638256610).

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

101200001121310 is a wasteful number, since it uses less digits than its factorization.

101200001121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101200001121310 its reverse (13121100002101), we get a palindrome (114321101123411).

The spelling of 101200001121310 in words is "one hundred one trillion, two hundred billion, one million, one hundred twenty-one thousand, three hundred ten".