101001102012 has 24 divisors (see below), whose sum is σ = 261854709200. Its totient is φ = 33667033968.

The previous prime is 101001101983. The next prime is 101001102019. The reversal of 101001102012 is 210201100101.

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 = 101001101985 and 101001102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001102019) 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, 467597587 + ... + 467597802.

Almost surely, 2^101001102012 is an apocalyptic number.

101001102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001102012 is an abundant number, since it is smaller than the sum of its proper divisors (160853607188).

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

101001102012 is a wasteful number, since it uses less digits than its factorization.

101001102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935195402 (or 935195394 counting only the distinct ones).

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

Adding to 101001102012 its reverse (210201100101), we get a palindrome (311202202113).

The spelling of 101001102012 in words is "one hundred one billion, one million, one hundred two thousand, twelve".