10100210102020 has 48 divisors (see below), whose sum is σ = 21354291403200. Its totient is φ = 4012687812224.

The previous prime is 10100210101999. The next prime is 10100210102023. The reversal of 10100210102020 is 2020101200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100210101988 and 10100210102006.

It is not an unprimeable number, because it can be changed into a prime (10100210102023) 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, 45265167 + ... + 45487753.

It is an arithmetic number, because the mean of its divisors is an integer number (444881070900).

Almost surely, 2^{10100210102020} is an apocalyptic number.

10100210102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100210102020 is an abundant number, since it is smaller than the sum of its proper divisors (11254081301180).

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

10100210102020 is a wasteful number, since it uses less digits than its factorization.

10100210102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237972 (or 237970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100210102020 its reverse (2020101200101), we get a palindrome (12120311302121).

The spelling of 10100210102020 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred two thousand, twenty".