101201200111212 has 192 divisors, whose sum is σ = 245309908451328. Its totient is φ = 32449584960000.

The previous prime is 101201200111103. The next prime is 101201200111223. The reversal of 101201200111212 is 212111002102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101201200111191 and 101201200111200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16420766043 + ... + 16420772205.

It is an arithmetic number, because the mean of its divisors is an integer number (1277655773184).

Almost surely, 2^{101201200111212} is an apocalyptic number.

101201200111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201200111212 is an abundant number, since it is smaller than the sum of its proper divisors (144108708340116).

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

101201200111212 is a wasteful number, since it uses less digits than its factorization.

101201200111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7738 counting only the distinct ones).

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

Adding to 101201200111212 its reverse (212111002102101), we get a palindrome (313312202213313).

The spelling of 101201200111212 in words is "one hundred one trillion, two hundred one billion, two hundred million, one hundred eleven thousand, two hundred twelve".