101010021221112 has 64 divisors (see below), whose sum is σ = 252746325025920. Its totient is φ = 33640506077568.

The previous prime is 101010021221041. The next prime is 101010021221113. The reversal of 101010021221112 is 211122120010101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101010021221091 and 101010021221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010021221113) 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, 1537948818 + ... + 1538014494.

It is an arithmetic number, because the mean of its divisors is an integer number (3949161328530).

Almost surely, 2^{101010021221112} is an apocalyptic number.

101010021221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010021221112 is an abundant number, since it is smaller than the sum of its proper divisors (151736303804808).

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

101010021221112 is a wasteful number, since it uses less digits than its factorization.

101010021221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120860 (or 120856 counting only the distinct ones).

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

Adding to 101010021221112 its reverse (211122120010101), we get a palindrome (312132141231213).

The spelling of 101010021221112 in words is "one hundred one trillion, ten billion, twenty-one million, two hundred twenty-one thousand, one hundred twelve".