101120002110000 has 600 divisors, whose sum is σ = 363343967324624. Its totient is φ = 26225337600000.

The previous prime is 101120002109999. The next prime is 101120002110013. The reversal of 101120002110000 is 11200021101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×101120002110000³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10213105050 + ... + 10213114950.

Almost surely, 2^{101120002110000} is an apocalyptic number.

101120002110000 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 101120002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181671983662312).

101120002110000 is an abundant number, since it is smaller than the sum of its proper divisors (262223965214624).

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

101120002110000 is a wasteful number, since it uses less digits than its factorization.

101120002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120002110000 its reverse (11200021101), we get a palindrome (101131202131101).

The spelling of 101120002110000 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred ten thousand".