10001210202120 has 128 divisors (see below), whose sum is σ = 30081659328000. Its totient is φ = 2660055552000.

The previous prime is 10001210202107. The next prime is 10001210202127. The reversal of 10001210202120 is 2120201210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001210202096 and 10001210202105.

It is not an unprimeable number, because it can be changed into a prime (10001210202127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441757761 + ... + 441780399.

It is an arithmetic number, because the mean of its divisors is an integer number (235012963500).

Almost surely, 2^{10001210202120} is an apocalyptic number.

10001210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001210202120 is an abundant number, since it is smaller than the sum of its proper divisors (20080449125880).

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

10001210202120 is a wasteful number, since it uses less digits than its factorization.

10001210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32063 (or 32059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001210202120 its reverse (2120201210001), we get a palindrome (12121411412121).

The spelling of 10001210202120 in words is "ten trillion, one billion, two hundred ten million, two hundred two thousand, one hundred twenty".