1012020220100 has 72 divisors (see below), whose sum is σ = 2223460481088. Its totient is φ = 399765744000.

The previous prime is 1012020220087. The next prime is 1012020220163. The reversal of 1012020220100 is 10220202101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21149402 + ... + 21197198.

Almost surely, 2^{1012020220100} is an apocalyptic number.

1012020220100 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 1012020220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111730240544).

1012020220100 is an abundant number, since it is smaller than the sum of its proper divisors (1211440260988).

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

1012020220100 is a wasteful number, since it uses less digits than its factorization.

1012020220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50445 (or 50438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012020220100 its reverse (10220202101), we get a palindrome (1022240422201).

The spelling of 1012020220100 in words is "one trillion, twelve billion, twenty million, two hundred twenty thousand, one hundred".