101120112102010 has 16 divisors (see below), whose sum is σ = 186455621340072. Its totient is φ = 39461507161600.

The previous prime is 101120112102007. The next prime is 101120112102089. The reversal of 101120112102010 is 10201211021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68653967921361 + 32466144180649 = 8285769^2 + 5697907^2 .

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 7 ways as a sum of consecutive naturals, for example, 123317209471 + ... + 123317210290.

Almost surely, 2^{101120112102010} is an apocalyptic number.

101120112102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120112102010 is a deficient number, since it is larger than the sum of its proper divisors (85335509238062).

101120112102010 is a wasteful number, since it uses less digits than its factorization.

101120112102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246634419809.

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

Adding to 101120112102010 its reverse (10201211021101), we get a palindrome (111321323123111).

The spelling of 101120112102010 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, one hundred two thousand, ten".