101211122212000 has 96 divisors (see below), whose sum is σ = 249475330750464. Its totient is φ = 40354273312000.

The previous prime is 101211122211967. The next prime is 101211122212001. The reversal of 101211122212000 is 212221112101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101211122212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39435712 + ... + 41923711.

It is an arithmetic number, because the mean of its divisors is an integer number (2598701361984).

Almost surely, 2^{101211122212000} is an apocalyptic number.

101211122212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211122212000 is an abundant number, since it is smaller than the sum of its proper divisors (148264208538464).

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

101211122212000 is an equidigital number, since it uses as much as digits as its factorization.

101211122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81359759 (or 81359741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211122212000 its reverse (212221112101), we get a palindrome (101423343324101).

The spelling of 101211122212000 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand".