101021021112012 has 12 divisors (see below), whose sum is σ = 235715715928056. Its totient is φ = 33673673704000.

The previous prime is 101021021111917. The next prime is 101021021112059. The reversal of 101021021112012 is 210211120120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×101021021112012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021021111982 and 101021021112000.

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, 4209209212989 + ... + 4209209213012.

It is an arithmetic number, because the mean of its divisors is an integer number (19642976327338).

Almost surely, 2^{101021021112012} is an apocalyptic number.

101021021112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021021112012 is an abundant number, since it is smaller than the sum of its proper divisors (134694694816044).

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

101021021112012 is a wasteful number, since it uses less digits than its factorization.

101021021112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418418426008 (or 8418418426006 counting only the distinct ones).

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

Adding to 101021021112012 its reverse (210211120120101), we get a palindrome (311232141232113).

The spelling of 101021021112012 in words is "one hundred one trillion, twenty-one billion, twenty-one million, one hundred twelve thousand, twelve".