101011221212112 has 60 divisors (see below), whose sum is σ = 282825040253184. Its totient is φ = 33654456989760.

The previous prime is 101011221212107. The next prime is 101011221212117. The reversal of 101011221212112 is 211212122110101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101011221212107) and next prime (101011221212117).

It is a super-3 number, since 3×101011221212112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011221212117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165841638 + ... + 166449605.

Almost surely, 2^{101011221212112} is an apocalyptic number.

101011221212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011221212112 is an abundant number, since it is smaller than the sum of its proper divisors (181813819041072).

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

101011221212112 is a wasteful number, since it uses less digits than its factorization.

101011221212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332293368 (or 332293359 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101011221212112 its reverse (211212122110101), we get a palindrome (312223343322213).

The spelling of 101011221212112 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twelve".