101133211233120 has 384 divisors, whose sum is σ = 348884269977600. Its totient is φ = 24421782528000.

The previous prime is 101133211233107. The next prime is 101133211233163. The reversal of 101133211233120 is 21332112331101.

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

It is a congruent number.

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, 1826107830 + ... + 1826163210.

It is an arithmetic number, because the mean of its divisors is an integer number (908552786400).

Almost surely, 2^{101133211233120} is an apocalyptic number.

101133211233120 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 101133211233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174442134988800).

101133211233120 is an abundant number, since it is smaller than the sum of its proper divisors (247751058744480).

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

101133211233120 is a wasteful number, since it uses less digits than its factorization.

101133211233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56750 (or 56742 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101133211233120 its reverse (21332112331101), we get a palindrome (122465323564221).

The spelling of 101133211233120 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred eleven million, two hundred thirty-three thousand, one hundred twenty".