101213201344120 has 32 divisors (see below), whose sum is σ = 231462976849920. Its totient is φ = 39821587413120.

The previous prime is 101213201344117. The next prime is 101213201344147. The reversal of 101213201344120 is 21443102312101.

101213201344120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101213201344120² (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 7 ways as a sum of consecutive naturals, for example, 20740407672 + ... + 20740412551.

It is an arithmetic number, because the mean of its divisors is an integer number (7233218026560).

Almost surely, 2^{101213201344120} is an apocalyptic number.

101213201344120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213201344120 is an abundant number, since it is smaller than the sum of its proper divisors (130249775505800).

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

101213201344120 is a wasteful number, since it uses less digits than its factorization.

101213201344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41480820295 (or 41480820291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101213201344120 its reverse (21443102312101), we get a palindrome (122656303656221).

The spelling of 101213201344120 in words is "one hundred one trillion, two hundred thirteen billion, two hundred one million, three hundred forty-four thousand, one hundred twenty".