101012222101120 has 512 divisors, whose sum is σ = 270238053980160. Its totient is φ = 35793470668800.

The previous prime is 101012222101057. The next prime is 101012222101151. The reversal of 101012222101120 is 21101222210101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101012222101094 and 101012222101103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42603213535 + ... + 42603215905.

It is an arithmetic number, because the mean of its divisors is an integer number (527808699180).

Almost surely, 2^{101012222101120} is an apocalyptic number.

101012222101120 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 101012222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135119026990080).

101012222101120 is an abundant number, since it is smaller than the sum of its proper divisors (169225831879040).

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

101012222101120 is a wasteful number, since it uses less digits than its factorization.

101012222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3172 counting only the distinct ones).

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

Adding to 101012222101120 its reverse (21101222210101), we get a palindrome (122113444311221).

The spelling of 101012222101120 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".