101111212212000 has 192 divisors, whose sum is σ = 348674033635200. Its totient is φ = 25543885132800.

The previous prime is 101111212211969. The next prime is 101111212212001. The reversal of 101111212212000 is 212212111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101111212212001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221507115 + ... + 221963114.

It is an arithmetic number, because the mean of its divisors is an integer number (1816010591850).

Almost surely, 2^{101111212212000} is an apocalyptic number.

101111212212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111212212000 is an abundant number, since it is smaller than the sum of its proper divisors (247562821423200).

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

101111212212000 is a wasteful number, since it uses less digits than its factorization.

101111212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443470276 (or 443470258 counting only the distinct ones).

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

Adding to 101111212212000 its reverse (212212111101), we get a palindrome (101323424323101).

The spelling of 101111212212000 in words is "one hundred one trillion, one hundred eleven billion, two hundred twelve million, two hundred twelve thousand".