101220112001012 has 12 divisors (see below), whose sum is σ = 177136404749220. Its totient is φ = 50609710644096.

The previous prime is 101220112001003. The next prime is 101220112001027. The reversal of 101220112001012 is 210100211022101.

It can be written as a sum of positive squares in 2 ways, for example, as 69306357601936 + 31913754399076 = 8325044^2 + 5649226^2 .

It is a super-2 number, since 2×101220112001012² (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 3 ways as a sum of consecutive naturals, for example, 85679093 + ... + 86852444.

It is an arithmetic number, because the mean of its divisors is an integer number (14761367062435).

Almost surely, 2^{101220112001012} is an apocalyptic number.

It is an amenable number.

101220112001012 is a deficient number, since it is larger than the sum of its proper divisors (75916292748208).

101220112001012 is a wasteful number, since it uses less digits than its factorization.

101220112001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172678210 (or 172678208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101220112001012 its reverse (210100211022101), we get a palindrome (311320323023113).

The spelling of 101220112001012 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve million, one thousand, twelve".