101201202100212 has 24 divisors (see below), whose sum is σ = 240138445663200. Its totient is φ = 33161975829216.

The previous prime is 101201202100211. The next prime is 101201202100213. The reversal of 101201202100212 is 212001202102101.

It is an interprime number because it is at equal distance from previous prime (101201202100211) and next prime (101201202100213).

It is a junction number, because it is equal to n+sod(n) for n = 101201202100191 and 101201202100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201202100211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71469774787 + ... + 71469776202.

It is an arithmetic number, because the mean of its divisors is an integer number (10005768569300).

Almost surely, 2^{101201202100212} is an apocalyptic number.

101201202100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201202100212 is an abundant number, since it is smaller than the sum of its proper divisors (138937243562988).

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

101201202100212 is a wasteful number, since it uses less digits than its factorization.

101201202100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142939551055 (or 142939551053 counting only the distinct ones).

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

Adding to 101201202100212 its reverse (212001202102101), we get a palindrome (313202404202313).

The spelling of 101201202100212 in words is "one hundred one trillion, two hundred one billion, two hundred two million, one hundred thousand, two hundred twelve".