101211302320 has 80 divisors (see below), whose sum is σ = 243024445440. Its totient is φ = 39159648000.

The previous prime is 101211302279. The next prime is 101211302327. The reversal of 101211302320 is 23203112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101211302294 and 101211302303.

It is not an unprimeable number, because it can be changed into a prime (101211302327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5821801 + ... + 5839159.

It is an arithmetic number, because the mean of its divisors is an integer number (3037805568).

Almost surely, 2^101211302320 is an apocalyptic number.

101211302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121512222720).

101211302320 is an abundant number, since it is smaller than the sum of its proper divisors (141813143120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211302320 is a wasteful number, since it uses less digits than its factorization.

101211302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19754 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101211302320 its reverse (23203112101), we get a palindrome (124414414421).

The spelling of 101211302320 in words is "one hundred one billion, two hundred eleven million, three hundred two thousand, three hundred twenty".