101120100011000 has 128 divisors (see below), whose sum is σ = 273462512918400. Its totient is φ = 34280200627200.

The previous prime is 101120100010981. The next prime is 101120100011011. The reversal of 101120100011000 is 110001021101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80532779 + ... + 81778778.

It is an arithmetic number, because the mean of its divisors is an integer number (2136425882175).

Almost surely, 2^{101120100011000} is an apocalyptic number.

101120100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120100011000 is an abundant number, since it is smaller than the sum of its proper divisors (172342412907400).

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

101120100011000 is a wasteful number, since it uses less digits than its factorization.

101120100011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162311674 (or 162311660 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101120100011000 its reverse (110001021101), we get a palindrome (101230101032101).

The spelling of 101120100011000 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, eleven thousand".