101133232122120 has 384 divisors, whose sum is σ = 346526641520640. Its totient is φ = 23569128000000.

The previous prime is 101133232122107. The next prime is 101133232122137. The reversal of 101133232122120 is 21221232331101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67224145 + ... + 68712095.

It is an arithmetic number, because the mean of its divisors is an integer number (902413128960).

Almost surely, 2^{101133232122120} is an apocalyptic number.

101133232122120 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 101133232122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173263320760320).

101133232122120 is an abundant number, since it is smaller than the sum of its proper divisors (245393409398520).

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

101133232122120 is a wasteful number, since it uses less digits than its factorization.

101133232122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488169 (or 1488154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101133232122120 its reverse (21221232331101), we get a palindrome (122354464453221).

The spelling of 101133232122120 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".