101012121021110 has 512 divisors, whose sum is σ = 223552213549056. Its totient is φ = 32499118080000.

The previous prime is 101012121021061. The next prime is 101012121021187. The reversal of 101012121021110 is 11120121210101.

It is a congruent 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 255 ways as a sum of consecutive naturals, for example, 24571177955 + ... + 24571182065.

It is an arithmetic number, because the mean of its divisors is an integer number (436625417088).

Almost surely, 2^{101012121021110} is an apocalyptic number.

101012121021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012121021110 is an abundant number, since it is smaller than the sum of its proper divisors (122540092527946).

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

101012121021110 is a wasteful number, since it uses less digits than its factorization.

101012121021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012121021110 its reverse (11120121210101), we get a palindrome (112132242231211).

The spelling of 101012121021110 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred ten".