101102222212000 has 96 divisors (see below), whose sum is σ = 248472769708800. Its totient is φ = 40430370412800.

The previous prime is 101102222211953. The next prime is 101102222212001. The reversal of 101102222212000 is 212222201101.

It is a happy number.

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 (101102222212001) 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, 12102901 + ... + 18673099.

It is an arithmetic number, because the mean of its divisors is an integer number (2588258017800).

Almost surely, 2^{101102222212000} is an apocalyptic number.

101102222212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124236384854400).

101102222212000 is an abundant number, since it is smaller than the sum of its proper divisors (147370547496800).

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

101102222212000 is an equidigital number, since it uses as much as digits as its factorization.

101102222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574071 (or 6574053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101102222212000 its reverse (212222201101), we get a palindrome (101314444413101).

The spelling of 101102222212000 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, two hundred twelve thousand".