10101103111021 has 8 divisors (see below), whose sum is σ = 10951118501400. Its totient is φ = 9261517357632.

The previous prime is 10101103111007. The next prime is 10101103111027. The reversal of 10101103111021 is 12011130110101.

It can be written as a sum of positive squares in 4 ways, for example, as 200099655625 + 9901003455396 = 447325^2 + 3146586^2 .

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 10101103111021 - 2⁴³ = 1305010088813 is a prime.

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 = 10101103110992 and 10101103111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101103111027) 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, 2607407230 + ... + 2607411103.

It is an arithmetic number, because the mean of its divisors is an integer number (1368889812675).

Almost surely, 2^{10101103111021} is an apocalyptic number.

It is an amenable number.

10101103111021 is a deficient number, since it is larger than the sum of its proper divisors (850015390379).

10101103111021 is a wasteful number, since it uses less digits than its factorization.

10101103111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214818495.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10101103111021 its reverse (12011130110101), we get a palindrome (22112233221122).

The spelling of 10101103111021 in words is "ten trillion, one hundred one billion, one hundred three million, one hundred eleven thousand, twenty-one".