101121322212 has 96 divisors (see below), whose sum is σ = 263743119360. Its totient is φ = 33504861600.

The previous prime is 101121322201. The next prime is 101121322213. The reversal of 101121322212 is 212223121101.

101121322212 is a `hidden beast` number, since 10 + 1 + 121 + 322 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101121322213) 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, 17891587 + ... + 17897237.

It is an arithmetic number, because the mean of its divisors is an integer number (2747324160).

Almost surely, 2^101121322212 is an apocalyptic number.

101121322212 is a gapful number since it is divisible by the number (12) 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 101121322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131871559680).

101121322212 is an abundant number, since it is smaller than the sum of its proper divisors (162621797148).

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

101121322212 is a wasteful number, since it uses less digits than its factorization.

101121322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101121322212 its reverse (212223121101), we get a palindrome (313344443313).

The spelling of 101121322212 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred twelve".