101112201201011 has 32 divisors (see below), whose sum is σ = 135772426976256. Its totient is φ = 72720884880000.

The previous prime is 101112201200963. The next prime is 101112201201043. The reversal of 101112201201011 is 110102102211101.

It is not a de Polignac number, because 101112201201011 - 2⁴² = 96714154689907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112209201011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5185721 + ... + 15136581.

It is an arithmetic number, because the mean of its divisors is an integer number (4242888343008).

Almost surely, 2^{101112201201011} is an apocalyptic number.

101112201201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112201201011 is a deficient number, since it is larger than the sum of its proper divisors (34660225775245).

101112201201011 is a wasteful number, since it uses less digits than its factorization.

101112201201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961043.

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

Adding to 101112201201011 its reverse (110102102211101), we get a palindrome (211214303412112).

The spelling of 101112201201011 in words is "one hundred one trillion, one hundred twelve billion, two hundred one million, two hundred one thousand, eleven".