101822983488 has 336 divisors, whose sum is σ = 315613718784. Its totient is φ = 31270256640.

The previous prime is 101822983487. The next prime is 101822983489. The reversal of 101822983488 is 884389228101.

101822983488 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 298 + 348 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (101822983487) and next prime (101822983489).

It is a super-2 number, since 2×101822983488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101822983481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116103306 + ... + 116104182.

It is an arithmetic number, because the mean of its divisors is an integer number (939326544).

Almost surely, 2^101822983488 is an apocalyptic number.

101822983488 is a gapful number since it is divisible by the number (18) 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 101822983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157806859392).

101822983488 is an abundant number, since it is smaller than the sum of its proper divisors (213790735296).

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

101822983488 is a wasteful number, since it uses less digits than its factorization.

101822983488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 101822983488 in words is "one hundred one billion, eight hundred twenty-two million, nine hundred eighty-three thousand, four hundred eighty-eight".