101121110010 has 48 divisors (see below), whose sum is σ = 262989103104. Its totient is φ = 26958017376.

The previous prime is 101121109997. The next prime is 101121110059. The reversal of 101121110010 is 10011121101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101121109974 and 101121110001.

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 23 ways as a sum of consecutive naturals, for example, 165679 + ... + 479261.

It is an arithmetic number, because the mean of its divisors is an integer number (5478939648).

Almost surely, 2^101121110010 is an apocalyptic number.

101121110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121110010 is an abundant number, since it is smaller than the sum of its proper divisors (161867993094).

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

101121110010 is a wasteful number, since it uses less digits than its factorization.

101121110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317179 (or 317176 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101121110010 its reverse (10011121101), we get a palindrome (111132231111).

The spelling of 101121110010 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, ten".