112101000112010 has 72 divisors (see below), whose sum is σ = 254170505912076. Its totient is φ = 35478118690560.

The previous prime is 112101000111937. The next prime is 112101000112147. The reversal of 112101000112010 is 10211000101211.

It can be written as a sum of positive squares in 6 ways, for example, as 120096209401 + 111980903902609 = 346549^2 + 10582103^2 .

It is a super-2 number, since 2×112101000112010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112101000111982 and 112101000112000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676773851 + ... + 676939470.

Almost surely, 2^{112101000112010} is an apocalyptic number.

112101000112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112101000112010 is an abundant number, since it is smaller than the sum of its proper divisors (142069505800066).

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

112101000112010 is a wasteful number, since it uses less digits than its factorization.

112101000112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353713368 (or 1353713348 counting only the distinct ones).

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

Adding to 112101000112010 its reverse (10211000101211), we get a palindrome (122312000213221).

The spelling of 112101000112010 in words is "one hundred twelve trillion, one hundred one billion, one hundred twelve thousand, ten".