101012101021012 has 24 divisors (see below), whose sum is σ = 178677447638760. Its totient is φ = 49961890836480.

The previous prime is 101012101020997. The next prime is 101012101021019. The reversal of 101012101021012 is 210120101210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 480476330896 + 100531624690116 = 693164^2 + 10026546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012101020983 and 101012101021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012101021019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60315439 + ... + 61967542.

It is an arithmetic number, because the mean of its divisors is an integer number (7444893651615).

Almost surely, 2^{101012101021012} is an apocalyptic number.

It is an amenable number.

101012101021012 is a deficient number, since it is larger than the sum of its proper divisors (77665346617748).

101012101021012 is a wasteful number, since it uses less digits than its factorization.

101012101021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122285211 (or 122285209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012101021012 its reverse (210120101210101), we get a palindrome (311132202231113).

The spelling of 101012101021012 in words is "one hundred one trillion, twelve billion, one hundred one million, twenty-one thousand, twelve".