101123320003002 has 192 divisors, whose sum is σ = 259734073098240. Its totient is φ = 28092059452800.

The previous prime is 101123320002973. The next prime is 101123320003003. The reversal of 101123320003002 is 200300023321101.

101123320003002 is a `hidden beast` number, since 10 + 11 + 23 + 320 + 0 + 0 + 300 + 2 = 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 (101123320003003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234105023 + ... + 2234150285.

It is an arithmetic number, because the mean of its divisors is an integer number (1352781630720).

Almost surely, 2^{101123320003002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123320003002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129867036549120).

101123320003002 is an abundant number, since it is smaller than the sum of its proper divisors (158610753095238).

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

101123320003002 is a wasteful number, since it uses less digits than its factorization.

101123320003002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64489 (or 64486 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101123320003002 its reverse (200300023321101), we get a palindrome (301423343324103).

The spelling of 101123320003002 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred twenty million, three thousand, two".