101100111100002 has 96 divisors (see below), whose sum is σ = 251652112717824. Its totient is φ = 28735051968000.

The previous prime is 101100111099989. The next prime is 101100111100007. The reversal of 101100111100002 is 200001111001101.

It is a super-2 number, since 2×101100111100002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101100111100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18903423 + ... + 23654589.

It is an arithmetic number, because the mean of its divisors is an integer number (2621376174144).

Almost surely, 2^{101100111100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100111100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125826056358912).

101100111100002 is an abundant number, since it is smaller than the sum of its proper divisors (150552001617822).

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

101100111100002 is a wasteful number, since it uses less digits than its factorization.

101100111100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752064 (or 4752061 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100111100002 its reverse (200001111001101), we get a palindrome (301101222101103).

The spelling of 101100111100002 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred thousand, two".