101101012121112 has 16 divisors (see below), whose sum is σ = 252752530302840. Its totient is φ = 33700337373696.

The previous prime is 101101012121101. The next prime is 101101012121203. The reversal of 101101012121112 is 211121210101101.

It is a super-2 number, since 2×101101012121112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101012121091 and 101101012121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2106271085833 + ... + 2106271085880.

Almost surely, 2^{101101012121112} is an apocalyptic number.

101101012121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101012121112 is an abundant number, since it is smaller than the sum of its proper divisors (151651518181728).

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

101101012121112 is a wasteful number, since it uses less digits than its factorization.

101101012121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212542171722 (or 4212542171718 counting only the distinct ones).

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

Adding to 101101012121112 its reverse (211121210101101), we get a palindrome (312222222222213).

The spelling of 101101012121112 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred twelve".