100020221122100 has 72 divisors (see below), whose sum is σ = 220638287751000. Its totient is φ = 39345740697600.

The previous prime is 100020221122097. The next prime is 100020221122103. The reversal of 100020221122100 is 1221122020001.

It is an interprime number because it is at equal distance from previous prime (100020221122097) and next prime (100020221122103).

It can be written as a sum of positive squares in 12 ways, for example, as 34164983586724 + 65855237535376 = 5845082^2 + 8115124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020221122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35796476 + ... + 38489324.

Almost surely, 2^{100020221122100} is an apocalyptic number.

100020221122100 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 100020221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110319143875500).

100020221122100 is an abundant number, since it is smaller than the sum of its proper divisors (120618066628900).

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

100020221122100 is a wasteful number, since it uses less digits than its factorization.

100020221122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699013 (or 2699006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100020221122100 its reverse (1221122020001), we get a palindrome (101241343142101).

The spelling of 100020221122100 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".