101302311121 has 8 divisors (see below), whose sum is σ = 111128997600. Its totient is φ = 91578522240.

The previous prime is 101302311101. The next prime is 101302311151. The reversal of 101302311121 is 121113203101.

It is a happy number.

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 101302311121 - 2⁹ = 101302310609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101302311095 and 101302311104.

It is not an unprimeable number, because it can be changed into a prime (101302311101) 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, 25722336 + ... + 25726273.

It is an arithmetic number, because the mean of its divisors is an integer number (13891124700).

Almost surely, 2^101302311121 is an apocalyptic number.

101302311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101302311121 is a deficient number, since it is larger than the sum of its proper divisors (9826686479).

101302311121 is a wasteful number, since it uses less digits than its factorization.

101302311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51448799.

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

Adding to 101302311121 its reverse (121113203101), we get a palindrome (222415514222).

It can be divided in two parts, 1013023 and 11121, that added together give a square (1024144 = 1012²).

The spelling of 101302311121 in words is "one hundred one billion, three hundred two million, three hundred eleven thousand, one hundred twenty-one".