10020103100100 has 216 divisors, whose sum is σ = 32260206855240. Its totient is φ = 2599496202240.

The previous prime is 10020103100057. The next prime is 10020103100129. The reversal of 10020103100100 is 100130102001.

It can be written as a sum of positive squares in 12 ways, for example, as 119817053316 + 9900286046784 = 346146^2 + 3146472^2 .

It is a super-2 number, since 2×10020103100100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423331066 + ... + 423354734.

It is an arithmetic number, because the mean of its divisors is an integer number (149352809515).

Almost surely, 2^{10020103100100} is an apocalyptic number.

10020103100100 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 10020103100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130103427620).

10020103100100 is an abundant number, since it is smaller than the sum of its proper divisors (22240103755140).

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

10020103100100 is a wasteful number, since it uses less digits than its factorization.

10020103100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36439 (or 36429 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10020103100100 its reverse (100130102001), we get a palindrome (10120233202101).

The spelling of 10020103100100 in words is "ten trillion, twenty billion, one hundred three million, one hundred thousand, one hundred".