10100102222020 has 48 divisors (see below), whose sum is σ = 21321520038000. Its totient is φ = 4018894871040.

The previous prime is 10100102222003. The next prime is 10100102222027. The reversal of 10100102222020 is 2022220100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25216804804 + 10074885417216 = 158798^2 + 3174096^2 .

It is not an unprimeable number, because it can be changed into a prime (10100102222027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220046 + ... + 4657114.

It is an arithmetic number, because the mean of its divisors is an integer number (444198334125).

Almost surely, 2^{10100102222020} is an apocalyptic number.

10100102222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100102222020 is an abundant number, since it is smaller than the sum of its proper divisors (11221417815980).

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

10100102222020 is a wasteful number, since it uses less digits than its factorization.

10100102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437848 (or 3437846 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10100102222020 its reverse (2022220100101), we get a palindrome (12122322322121).

The spelling of 10100102222020 in words is "ten trillion, one hundred billion, one hundred two million, two hundred twenty-two thousand, twenty".