101130110000 has 200 divisors, whose sum is σ = 259930845504. Its totient is φ = 37972480000.

The previous prime is 101130109991. The next prime is 101130110023. The reversal of 101130110000 is 11031101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101130110000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101130110000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111009545 + ... + 111010455.

Almost surely, 2^101130110000 is an apocalyptic number.

101130110000 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 101130110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129965422752).

101130110000 is an abundant number, since it is smaller than the sum of its proper divisors (158800735504).

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

101130110000 is an equidigital number, since it uses as much as digits as its factorization.

101130110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101130110000 its reverse (11031101), we get a palindrome (101141141101).

The spelling of 101130110000 in words is "one hundred one billion, one hundred thirty million, one hundred ten thousand".