101011221033012 has 48 divisors (see below), whose sum is σ = 267452878398720. Its totient is φ = 32954015370816.

The previous prime is 101011221033007. The next prime is 101011221033013. The reversal of 101011221033012 is 210330122110101.

101011221033012 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 112 + 210 + 330 + 12 = 666.

It is a super-3 number, since 3×101011221033012³ (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 (101011221033013) 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, 9949878793 + ... + 9949888944.

It is an arithmetic number, because the mean of its divisors is an integer number (5571934966640).

Almost surely, 2^{101011221033012} is an apocalyptic number.

101011221033012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011221033012 is an abundant number, since it is smaller than the sum of its proper divisors (166441657365708).

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

101011221033012 is a wasteful number, since it uses less digits than its factorization.

101011221033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19899767797 (or 19899767789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101011221033012 its reverse (210330122110101), we get a palindrome (311341343143113).

The spelling of 101011221033012 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, thirty-three thousand, twelve".