101021020120212 has 24 divisors (see below), whose sum is σ = 235716244444800. Its totient is φ = 33673597540416.

The previous prime is 101021020120187. The next prime is 101021020120247. The reversal of 101021020120212 is 212021020120101.

101021020120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101021020120212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021020120191 and 101021020120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3792012 + ... + 14711267.

It is an arithmetic number, because the mean of its divisors is an integer number (9821510185200).

Almost surely, 2^{101021020120212} is an apocalyptic number.

101021020120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021020120212 is an abundant number, since it is smaller than the sum of its proper divisors (134695224324588).

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

101021020120212 is a wasteful number, since it uses less digits than its factorization.

101021020120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958255 (or 18958253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021020120212 its reverse (212021020120101), we get a palindrome (313042040240313).

The spelling of 101021020120212 in words is "one hundred one trillion, twenty-one billion, twenty million, one hundred twenty thousand, two hundred twelve".