101101121110212 has 96 divisors (see below), whose sum is σ = 242579826069504. Its totient is φ = 32756468256000.

The previous prime is 101101121110193. The next prime is 101101121110261. The reversal of 101101121110212 is 212011121101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101121110191 and 101101121110200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334628688 + ... + 334930680.

It is an arithmetic number, because the mean of its divisors is an integer number (2526873188224).

Almost surely, 2^{101101121110212} is an apocalyptic number.

101101121110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101121110212 is an abundant number, since it is smaller than the sum of its proper divisors (141478704959292).

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

101101121110212 is a wasteful number, since it uses less digits than its factorization.

101101121110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306129 (or 306127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101121110212 its reverse (212011121101101), we get a palindrome (313112242211313).

The spelling of 101101121110212 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, two hundred twelve".