101012121002110 has 32 divisors (see below), whose sum is σ = 183131792010720. Its totient is φ = 40113749065728.

The previous prime is 101012121001991. The next prime is 101012121002123. The reversal of 101012121002110 is 11200121210101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 156961554 + ... + 157603786.

It is an arithmetic number, because the mean of its divisors is an integer number (5722868500335).

Almost surely, 2^{101012121002110} is an apocalyptic number.

101012121002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012121002110 is a deficient number, since it is larger than the sum of its proper divisors (82119671008610).

101012121002110 is a wasteful number, since it uses less digits than its factorization.

101012121002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755532.

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

Adding to 101012121002110 its reverse (11200121210101), we get a palindrome (112212242212211).

The spelling of 101012121002110 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, two thousand, one hundred ten".