101012010122010 has 64 divisors (see below), whose sum is σ = 261503096819328. Its totient is φ = 24823932758784.

The previous prime is 101012010122003. The next prime is 101012010122017. The reversal of 101012010122010 is 10221010210101.

It is an interprime number because it is at equal distance from previous prime (101012010122003) and next prime (101012010122017).

It is not an unprimeable number, because it can be changed into a prime (101012010122017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211021252 + ... + 211499391.

It is an arithmetic number, because the mean of its divisors is an integer number (4085985887802).

Almost surely, 2^{101012010122010} is an apocalyptic number.

101012010122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012010122010 is an abundant number, since it is smaller than the sum of its proper divisors (160491086697318).

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

101012010122010 is a wasteful number, since it uses less digits than its factorization.

101012010122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422521279.

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

Adding to 101012010122010 its reverse (10221010210101), we get a palindrome (111233020332111).

The spelling of 101012010122010 in words is "one hundred one trillion, twelve billion, ten million, one hundred twenty-two thousand, ten".