101101002012 has 24 divisors (see below), whose sum is σ = 262113709200. Its totient is φ = 33700333968.

The previous prime is 101101001983. The next prime is 101101002017. The reversal of 101101002012 is 210200101101.

It is a happy number.

It is a super-3 number, since 3×101101002012³ (a number of 34 digits) contains 333 as substring.

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 = 101101001985 and 101101002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468060087 + ... + 468060302.

It is an arithmetic number, because the mean of its divisors is an integer number (10921404550).

Almost surely, 2^101101002012 is an apocalyptic number.

101101002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101002012 is an abundant number, since it is smaller than the sum of its proper divisors (161012707188).

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

101101002012 is a wasteful number, since it uses less digits than its factorization.

101101002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936120402 (or 936120394 counting only the distinct ones).

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

Adding to 101101002012 its reverse (210200101101), we get a palindrome (311301103113).

The spelling of 101101002012 in words is "one hundred one billion, one hundred one million, two thousand, twelve".