10100210201120 has 48 divisors (see below), whose sum is σ = 25697265574680. Its totient is φ = 3729308381184.

The previous prime is 10100210201089. The next prime is 10100210201141. The reversal of 10100210201120 is 2110201200101.

It can be written as a sum of positive squares in 4 ways, for example, as 8835566011024 + 1264644190096 = 2972468^2 + 1124564^2 .

It is a super-2 number, since 2×10100210201120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427933065 + ... + 2427937224.

Almost surely, 2^{10100210201120} is an apocalyptic number.

10100210201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100210201120 is an abundant number, since it is smaller than the sum of its proper divisors (15597055373560).

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

10100210201120 is a wasteful number, since it uses less digits than its factorization.

10100210201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855870317 (or 4855870309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100210201120 its reverse (2110201200101), we get a palindrome (12210411401221).

The spelling of 10100210201120 in words is "ten trillion, one hundred billion, two hundred ten million, two hundred one thousand, one hundred twenty".