10101101112112 has 20 divisors (see below), whose sum is σ = 19572307064496. Its totient is φ = 5050183160000.

The previous prime is 10101101112107. The next prime is 10101101112119. The reversal of 10101101112112 is 21121110110101.

It is a super-2 number, since 2×10101101112112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101101112092 and 10101101112101.

It is not an unprimeable number, because it can be changed into a prime (10101101112119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22735363 + ... + 23175394.

Almost surely, 2^{10101101112112} is an apocalyptic number.

It is an amenable number.

10101101112112 is a deficient number, since it is larger than the sum of its proper divisors (9471205952384).

10101101112112 is a wasteful number, since it uses less digits than its factorization.

10101101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45924516 (or 45924510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10101101112112 its reverse (21121110110101), we get a palindrome (31222211222213).

The spelling of 10101101112112 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred twelve".