101011222011012 has 96 divisors (see below), whose sum is σ = 242547390220800. Its totient is φ = 32698926028800.

The previous prime is 101011222010969. The next prime is 101011222011013. The reversal of 101011222011012 is 210110222110101.

It is a happy number.

It is a super-3 number, since 3×101011222011012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011222010982 and 101011222011000.

It is not an unprimeable number, because it can be changed into a prime (101011222011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150196314 + ... + 150867342.

It is an arithmetic number, because the mean of its divisors is an integer number (2526535314800).

Almost surely, 2^{101011222011012} is an apocalyptic number.

101011222011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011222011012 is an abundant number, since it is smaller than the sum of its proper divisors (141536168209788).

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

101011222011012 is a wasteful number, since it uses less digits than its factorization.

101011222011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672477 (or 672475 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011222011012 its reverse (210110222110101), we get a palindrome (311121444121113).

The spelling of 101011222011012 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, eleven thousand, twelve".