101110121012 has 6 divisors (see below), whose sum is σ = 176942711778. Its totient is φ = 50555060504.

The previous prime is 101110121011. The next prime is 101110121027. The reversal of 101110121012 is 210121011101.

It can be written as a sum of positive squares in only one way, i.e., 97866362896 + 3243758116 = 312836^2 + 56954^2 .

It is a super-2 number, since 2×101110121012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110120984 and 101110121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110121011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12638765123 + ... + 12638765130.

It is an arithmetic number, because the mean of its divisors is an integer number (29490451963).

Almost surely, 2^101110121012 is an apocalyptic number.

It is an amenable number.

101110121012 is a deficient number, since it is larger than the sum of its proper divisors (75832590766).

101110121012 is a wasteful number, since it uses less digits than its factorization.

101110121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25277530257 (or 25277530255 counting only the distinct ones).

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

Adding to 101110121012 its reverse (210121011101), we get a palindrome (311231132113).

It can be divided in two parts, 1011101 and 21012, that multiplied together give a palindrome (21245254212).

The spelling of 101110121012 in words is "one hundred one billion, one hundred ten million, one hundred twenty-one thousand, twelve".