101122102001010 has 128 divisors (see below), whose sum is σ = 257492348928000. Its totient is φ = 25344060295680.

The previous prime is 101122102000999. The next prime is 101122102001021. The reversal of 101122102001010 is 10100201221101.

It is an interprime number because it is at equal distance from previous prime (101122102000999) and next prime (101122102001021).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1987007665 + ... + 1987058555.

It is an arithmetic number, because the mean of its divisors is an integer number (2011658976000).

Almost surely, 2^{101122102001010} is an apocalyptic number.

101122102001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122102001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128746174464000).

101122102001010 is an abundant number, since it is smaller than the sum of its proper divisors (156370246926990).

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

101122102001010 is a wasteful number, since it uses less digits than its factorization.

101122102001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78496.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122102001010 its reverse (10100201221101), we get a palindrome (111222303222111).

The spelling of 101122102001010 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, one thousand, ten".