102011102110021 has 8 divisors (see below), whose sum is σ = 109858855960280. Its totient is φ = 94163454830592.

The previous prime is 102011102109997. The next prime is 102011102110063. The reversal of 102011102110021 is 120011201110201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4899715060900 + 97111387049121 = 2213530^2 + 9854511^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102011102110021 - 2²³ = 102011093721413 is a prime.

It is a super-2 number, since 2×102011102110021² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011102109983 and 102011102110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011102110091) 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, 24649116 + ... + 28488613.

It is an arithmetic number, because the mean of its divisors is an integer number (13732356995035).

Almost surely, 2^{102011102110021} is an apocalyptic number.

It is an amenable number.

102011102110021 is a deficient number, since it is larger than the sum of its proper divisors (7847753850259).

102011102110021 is a wasteful number, since it uses less digits than its factorization.

102011102110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53285415.

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

Adding to 102011102110021 its reverse (120011201110201), we get a palindrome (222022303220222).

The spelling of 102011102110021 in words is "one hundred two trillion, eleven billion, one hundred two million, one hundred ten thousand, twenty-one".