101102012012021 has 8 divisors (see below), whose sum is σ = 102145976848344. Its totient is φ = 100058889427200.

The previous prime is 101102012011943. The next prime is 101102012012051. The reversal of 101102012012021 is 120210210201101.

It can be written as a sum of positive squares in 4 ways, for example, as 25282936029796 + 75819075982225 = 5028214^2 + 8707415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102012012021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102012011987 and 101102012012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102012012051) 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, 210321560 + ... + 210801713.

It is an arithmetic number, because the mean of its divisors is an integer number (12768247106043).

Almost surely, 2^{101102012012021} is an apocalyptic number.

It is an amenable number.

101102012012021 is a deficient number, since it is larger than the sum of its proper divisors (1043964836323).

101102012012021 is a wasteful number, since it uses less digits than its factorization.

101102012012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421125751.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102012012021 its reverse (120210210201101), we get a palindrome (221312222213122).

The spelling of 101102012012021 in words is "one hundred one trillion, one hundred two billion, twelve million, twelve thousand, twenty-one".