10203020100 has 729 divisors, whose sum is σ = 41402172357. Its totient is φ = 2094543360.

The previous prime is 10203020081. The next prime is 10203020119. The reversal of 10203020100 is 102030201.

It is a happy number.

The square root of 10203020100 is 101010.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10203020081) and next prime (10203020119).

It can be written as a sum of positive squares in 13 ways, for example, as 5888106756 + 4314913344 = 76734^2 + 65688^2 .

It is a super-2 number, since 2×10203020100² (a number of 21 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 242 ways as a sum of consecutive naturals, for example, 275757282 + ... + 275757318.

Almost surely, 2^10203020100 is an apocalyptic number.

10203020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10203020100 is the 101010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203020100

10203020100 is an abundant number, since it is smaller than the sum of its proper divisors (31199152257).

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

10203020100 is a wasteful number, since it uses less digits than its factorization.

10203020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10203020100 its reverse (102030201), we get a palindrome (10305050301).

10203020100 divided by its reverse (102030201) gives a square (100 = 10²).

The spelling of 10203020100 in words is "ten billion, two hundred three million, twenty thousand, one hundred".