115211312001020 has 96 divisors (see below), whose sum is σ = 261810195591168. Its totient is φ = 42420986053632.

The previous prime is 115211312000989. The next prime is 115211312001041. The reversal of 115211312001020 is 20100213112511.

115211312001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 115211312000983 and 115211312001001.

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, 20206259 + ... + 25272821.

It is an arithmetic number, because the mean of its divisors is an integer number (2727189537408).

Almost surely, 2^{115211312001020} is an apocalyptic number.

115211312001020 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 115211312001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130905097795584).

115211312001020 is an abundant number, since it is smaller than the sum of its proper divisors (146598883590148).

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

115211312001020 is a wasteful number, since it uses less digits than its factorization.

115211312001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068059 (or 5068057 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 115211312001020 its reverse (20100213112511), we get a palindrome (135311525113531).

The spelling of 115211312001020 in words is "one hundred fifteen trillion, two hundred eleven billion, three hundred twelve million, one thousand, twenty".