10212100020 has 72 divisors (see below), whose sum is σ = 32044881960. Its totient is φ = 2629320960.

The previous prime is 10212100007. The next prime is 10212100037. The reversal of 10212100020 is 2000121201.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 10198172196 = 3732^2 + 100986^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10212099975 and 10212100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972951 + ... + 983390.

It is an arithmetic number, because the mean of its divisors is an integer number (445067805).

Almost surely, 2^10212100020 is an apocalyptic number.

10212100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212100020 is an abundant number, since it is smaller than the sum of its proper divisors (21832781940).

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

10212100020 is a wasteful number, since it uses less digits than its factorization.

10212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956385 (or 1956380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212100020 its reverse (2000121201), we get a palindrome (12212221221).

The spelling of 10212100020 in words is "ten billion, two hundred twelve million, one hundred thousand, twenty".