101411144314212 has 48 divisors (see below), whose sum is σ = 238538178772992. Its totient is φ = 33530656188960.

The previous prime is 101411144314211. The next prime is 101411144314351. The reversal of 101411144314212 is 212413441114101.

It is a super-2 number, since 2×101411144314212² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101411144314212.

It is not an unprimeable number, because it can be changed into a prime (101411144314211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592903 + ... + 14253905.

It is an arithmetic number, because the mean of its divisors is an integer number (4969545391104).

Almost surely, 2^{101411144314212} is an apocalyptic number.

101411144314212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101411144314212 is an abundant number, since it is smaller than the sum of its proper divisors (137127034458780).

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

101411144314212 is a wasteful number, since it uses less digits than its factorization.

101411144314212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666008 (or 13666006 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 101411144314212 its reverse (212413441114101), we get a palindrome (313824585428313).

The spelling of 101411144314212 in words is "one hundred one trillion, four hundred eleven billion, one hundred forty-four million, three hundred fourteen thousand, two hundred twelve".