101322114240 has 224 divisors, whose sum is σ = 331286754240. Its totient is φ = 26217824256.

The previous prime is 101322114227. The next prime is 101322114251. The reversal of 101322114240 is 42411223101.

It is a super-2 number, since 2×101322114240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13813614 + ... + 13820946.

Almost surely, 2^101322114240 is an apocalyptic number.

101322114240 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 101322114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165643377120).

101322114240 is an abundant number, since it is smaller than the sum of its proper divisors (229964640000).

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

101322114240 is a wasteful number, since it uses less digits than its factorization.

101322114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101322114240 its reverse (42411223101), we get a palindrome (143733337341).

It can be divided in two parts, 1013221 and 14240, that added together give a triangular number (1027461 = T₁₄₃₃).

The spelling of 101322114240 in words is "one hundred one billion, three hundred twenty-two million, one hundred fourteen thousand, two hundred forty".