210103414445100 has 288 divisors, whose sum is σ = 663826019915520. Its totient is φ = 50883244544000.

The previous prime is 210103414445081. The next prime is 210103414445107. The reversal of 210103414445100 is 1544414301012.

It is a super-2 number, since 2×210103414445100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (210103414445107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28084933360 + ... + 28084940840.

It is an arithmetic number, because the mean of its divisors is an integer number (2304951458040).

Almost surely, 2^{210103414445100} is an apocalyptic number.

210103414445100 is a gapful number since it is divisible by the number (20) 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 210103414445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331913009957760).

210103414445100 is an abundant number, since it is smaller than the sum of its proper divisors (453722605470420).

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

210103414445100 is a wasteful number, since it uses less digits than its factorization.

210103414445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14881 (or 14874 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 210103414445100 its reverse (1544414301012), we get a palindrome (211647828746112).

The spelling of 210103414445100 in words is "two hundred ten trillion, one hundred three billion, four hundred fourteen million, four hundred forty-five thousand, one hundred".