101122120112010 has 32 divisors (see below), whose sum is σ = 242742426514560. Its totient is φ = 26960416669248.

The previous prime is 101122120112003. The next prime is 101122120112107. The reversal of 101122120112010 is 10211021221101.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342476677 + ... + 342771816.

It is an arithmetic number, because the mean of its divisors is an integer number (7585700828580).

Almost surely, 2^{101122120112010} is an apocalyptic number.

101122120112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122120112010 is an abundant number, since it is smaller than the sum of its proper divisors (141620306402550).

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

101122120112010 is a wasteful number, since it uses less digits than its factorization.

101122120112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685253422.

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

Adding to 101122120112010 its reverse (10211021221101), we get a palindrome (111333141333111).

The spelling of 101122120112010 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, ten".