101112120122010 has 16 divisors (see below), whose sum is σ = 242669088292896. Its totient is φ = 26963232032528.

The previous prime is 101112120121993. The next prime is 101112120122047. The reversal of 101112120122010 is 10221021211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685202002004 + ... + 1685202002063.

It is an arithmetic number, because the mean of its divisors is an integer number (15166818018306).

Almost surely, 2^{101112120122010} is an apocalyptic number.

101112120122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112120122010 is an abundant number, since it is smaller than the sum of its proper divisors (141556968170886).

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

101112120122010 is a wasteful number, since it uses less digits than its factorization.

101112120122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370404004077.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112120122010 its reverse (10221021211101), we get a palindrome (111333141333111).

The spelling of 101112120122010 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, ten".