101011010110120 has 32 divisors (see below), whose sum is σ = 247936115725920. Its totient is φ = 36731276403520.

The previous prime is 101011010110099. The next prime is 101011010110181. The reversal of 101011010110120 is 21011010110101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101011010110097 and 101011010110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114785238322 + ... + 114785239201.

It is an arithmetic number, because the mean of its divisors is an integer number (7748003616435).

Almost surely, 2^{101011010110120} is an apocalyptic number.

101011010110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011010110120 is an abundant number, since it is smaller than the sum of its proper divisors (146925105615800).

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

101011010110120 is a wasteful number, since it uses less digits than its factorization.

101011010110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229570477545 (or 229570477541 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011010110120 its reverse (21011010110101), we get a palindrome (122022020220221).

The spelling of 101011010110120 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, one hundred twenty".