10132021013101 has 8 divisors (see below), whose sum is σ = 10911488295960. Its totient is φ = 9352565308992.

The previous prime is 10132021013099. The next prime is 10132021013111. The reversal of 10132021013101 is 10131012023101.

It is a happy number.

10132021013101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 449904221001 + 9682116792100 = 670749^2 + 3111610^2 .

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 10132021013101 - 2¹ = 10132021013099 is a prime.

It is a super-3 number, since 3×10132021013101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132021013111) 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, 1032910 + ... + 4618543.

It is an arithmetic number, because the mean of its divisors is an integer number (1363936036995).

Almost surely, 2^{10132021013101} is an apocalyptic number.

It is an amenable number.

10132021013101 is a deficient number, since it is larger than the sum of its proper divisors (779467282859).

10132021013101 is a wasteful number, since it uses less digits than its factorization.

10132021013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789375.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10132021013101 its reverse (10131012023101), we get a palindrome (20263033036202).

The spelling of 10132021013101 in words is "ten trillion, one hundred thirty-two billion, twenty-one million, thirteen thousand, one hundred one".