10101112122010 has 64 divisors (see below), whose sum is σ = 22800072056832. Its totient is φ = 3136517819136.

The previous prime is 10101112121911. The next prime is 10101112122011. The reversal of 10101112122010 is 1022121110101.

It is a happy number.

It is a super-2 number, since 2×10101112122010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10101112122011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104669914 + ... + 104766373.

It is an arithmetic number, because the mean of its divisors is an integer number (356251125888).

Almost surely, 2^{10101112122010} is an apocalyptic number.

10101112122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101112122010 is an abundant number, since it is smaller than the sum of its proper divisors (12698959934822).

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

10101112122010 is a wasteful number, since it uses less digits than its factorization.

10101112122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209436367.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101112122010 its reverse (1022121110101), we get a palindrome (11123233232111).

The spelling of 10101112122010 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, ten".