101002024024220 has 96 divisors (see below), whose sum is σ = 232820300160000. Its totient is φ = 36501030316800.

The previous prime is 101002024024091. The next prime is 101002024024259. The reversal of 101002024024220 is 22420420200101.

It is a super-2 number, since 2×101002024024220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101002024024192 and 101002024024201.

It is a congruent number.

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, 24312650 + ... + 28162190.

It is an arithmetic number, because the mean of its divisors is an integer number (2425211460000).

Almost surely, 2^{101002024024220} is an apocalyptic number.

101002024024220 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 101002024024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116410150080000).

101002024024220 is an abundant number, since it is smaller than the sum of its proper divisors (131818276135780).

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

101002024024220 is a wasteful number, since it uses less digits than its factorization.

101002024024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850299 (or 3850297 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 101002024024220 its reverse (22420420200101), we get a palindrome (123422444224321).

The spelling of 101002024024220 in words is "one hundred one trillion, two billion, twenty-four million, twenty-four thousand, two hundred twenty".