100021022100112 has 10 divisors (see below), whose sum is σ = 193790730318998. Its totient is φ = 50010511050048.

The previous prime is 100021022100079. The next prime is 100021022100119. The reversal of 100021022100112 is 211001220120001.

It can be written as a sum of positive squares in only one way, i.e., 99935690342656 + 85331757456 = 9996784^2 + 292116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100021022100092 and 100021022100101.

It is not an unprimeable number, because it can be changed into a prime (100021022100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3125656940613 + ... + 3125656940644.

Almost surely, 2^{100021022100112} is an apocalyptic number.

It is an amenable number.

100021022100112 is a deficient number, since it is larger than the sum of its proper divisors (93769708218886).

100021022100112 is an equidigital number, since it uses as much as digits as its factorization.

100021022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251313881265 (or 6251313881259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100021022100112 its reverse (211001220120001), we get a palindrome (311022242220113).

The spelling of 100021022100112 in words is "one hundred trillion, twenty-one billion, twenty-two million, one hundred thousand, one hundred twelve".