101001021012 has 192 divisors, whose sum is σ = 280243353600. Its totient is φ = 31387668480.

The previous prime is 101001021007. The next prime is 101001021013. The reversal of 101001021012 is 210120100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001020985 and 101001021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001021013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59516548 + ... + 59518244.

It is an arithmetic number, because the mean of its divisors is an integer number (1459600800).

Almost surely, 2^101001021012 is an apocalyptic number.

101001021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140121676800).

101001021012 is an abundant number, since it is smaller than the sum of its proper divisors (179242332588).

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

101001021012 is a wasteful number, since it uses less digits than its factorization.

101001021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001021012 its reverse (210120100101), we get a palindrome (311121121113).

The spelling of 101001021012 in words is "one hundred one billion, one million, twenty-one thousand, twelve".