101212322120 has 192 divisors, whose sum is σ = 282286840320. Its totient is φ = 31979031552.

The previous prime is 101212322087. The next prime is 101212322131. The reversal of 101212322120 is 21223212101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36576977 + ... + 36579743.

It is an arithmetic number, because the mean of its divisors is an integer number (1470243960).

Almost surely, 2^101212322120 is an apocalyptic number.

101212322120 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 101212322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143420160).

101212322120 is an abundant number, since it is smaller than the sum of its proper divisors (181074518200).

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

101212322120 is a wasteful number, since it uses less digits than its factorization.

101212322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101212322120 its reverse (21223212101), we get a palindrome (122435534221).

The spelling of 101212322120 in words is "one hundred one billion, two hundred twelve million, three hundred twenty-two thousand, one hundred twenty".