10212120100 has 288 divisors, whose sum is σ = 28320187392. Its totient is φ = 3110400000.

The previous prime is 10212120077. The next prime is 10212120143. The reversal of 10212120100 is 102121201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37682965 + ... + 37683235.

It is an arithmetic number, because the mean of its divisors is an integer number (98333984).

Almost surely, 2^10212120100 is an apocalyptic number.

10212120100 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 10212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160093696).

10212120100 is an abundant number, since it is smaller than the sum of its proper divisors (18108067292).

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

10212120100 is a wasteful number, since it uses less digits than its factorization.

10212120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

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

Adding to 10212120100 its reverse (102121201), we get a palindrome (10314241301).

10212120100 divided by its reverse (102121201) gives a square (100 = 10²).

It can be divided in two parts, 102121 and 20100, that added together give a palindrome (122221).

The spelling of 10212120100 in words is "ten billion, two hundred twelve million, one hundred twenty thousand, one hundred".