101132311212101 has 8 divisors (see below), whose sum is σ = 109990053627384. Its totient is φ = 92428616491200.

The previous prime is 101132311212061. The next prime is 101132311212131. The reversal of 101132311212101 is 101212113231101.

It can be written as a sum of positive squares in 4 ways, for example, as 56402953836100 + 44729357376001 = 7510190^2 + 6688001^2 .

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-101132311212101 is a prime.

It is a super-2 number, since 2×101132311212101² (a number of 29 digits) contains 22 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 (101132311212131) 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, 38511922226 + ... + 38511924851.

It is an arithmetic number, because the mean of its divisors is an integer number (13748756703423).

Almost surely, 2^{101132311212101} is an apocalyptic number.

It is an amenable number.

101132311212101 is a deficient number, since it is larger than the sum of its proper divisors (8857742415283).

101132311212101 is a wasteful number, since it uses less digits than its factorization.

101132311212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77023847191.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101132311212101 its reverse (101212113231101), we get a palindrome (202344424443202).

The spelling of 101132311212101 in words is "one hundred one trillion, one hundred thirty-two billion, three hundred eleven million, two hundred twelve thousand, one hundred one".