101211122320 has 160 divisors (see below), whose sum is σ = 296287393536. Its totient is φ = 31233792000.

The previous prime is 101211122291. The next prime is 101211122321. The reversal of 101211122320 is 23221112101.

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 = 101211122294 and 101211122303.

It is not an unprimeable number, because it can be changed into a prime (101211122321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540822 + ... + 703498.

Almost surely, 2^101211122320 is an apocalyptic number.

101211122320 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 101211122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148143696768).

101211122320 is an abundant number, since it is smaller than the sum of its proper divisors (195076271216).

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

101211122320 is a wasteful number, since it uses less digits than its factorization.

101211122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162809 (or 162803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101211122320 its reverse (23221112101), we get a palindrome (124432234421).

The spelling of 101211122320 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twenty".