100020221022040 has 256 divisors, whose sum is σ = 251018585072640. Its totient is φ = 35563334400000.

The previous prime is 100020221022031. The next prime is 100020221022091. The reversal of 100020221022040 is 40220122020001.

It is a super-2 number, since 2×100020221022040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18261859782 + ... + 18261865258.

It is an arithmetic number, because the mean of its divisors is an integer number (980541347940).

Almost surely, 2^{100020221022040} is an apocalyptic number.

100020221022040 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 100020221022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125509292536320).

100020221022040 is an abundant number, since it is smaller than the sum of its proper divisors (150998364050600).

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

100020221022040 is a wasteful number, since it uses less digits than its factorization.

100020221022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100020221022040 its reverse (40220122020001), we get a palindrome (140240343042041).

The spelling of 100020221022040 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, twenty-two thousand, forty".