101142012221012 has 72 divisors (see below), whose sum is σ = 213032595321000. Its totient is φ = 41844697982976.

The previous prime is 101142012220993. The next prime is 101142012221039. The reversal of 101142012221012 is 210122210241101.

It can be written as a sum of positive squares in 4 ways, for example, as 33945235672516 + 67196776548496 = 5826254^2 + 8197364^2 .

It is a super-2 number, since 2×101142012221012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31724588 + ... + 34766844.

It is an arithmetic number, because the mean of its divisors is an integer number (2958786046125).

Almost surely, 2^{101142012221012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101142012221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106516297660500).

101142012221012 is an abundant number, since it is smaller than the sum of its proper divisors (111890583099988).

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

101142012221012 is a wasteful number, since it uses less digits than its factorization.

101142012221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048153 (or 3048144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101142012221012 its reverse (210122210241101), we get a palindrome (311264222462113).

The spelling of 101142012221012 in words is "one hundred one trillion, one hundred forty-two billion, twelve million, two hundred twenty-one thousand, twelve".