101120100121010 has 8 divisors (see below), whose sum is σ = 182016180217836. Its totient is φ = 40448040048400.

The previous prime is 101120100120997. The next prime is 101120100121069. The reversal of 101120100121010 is 10121001021101.

It can be written as a sum of positive squares in 2 ways, for example, as 95512330387681 + 5607769733329 = 9773041^2 + 2368073^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 101120100120982 and 101120100121000.

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 3 ways as a sum of consecutive naturals, for example, 5056005006041 + ... + 5056005006060.

Almost surely, 2^{101120100121010} is an apocalyptic number.

101120100121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120100121010 is a deficient number, since it is larger than the sum of its proper divisors (80896080096826).

101120100121010 is a wasteful number, since it uses less digits than its factorization.

101120100121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112010012108.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101120100121010 its reverse (10121001021101), we get a palindrome (111241101142111).

Subtracting from 101120100121010 its reverse (10121001021101), we obtain a palindrome (90999099099909).

The spelling of 101120100121010 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred twenty-one thousand, ten".