10001001202120 has 64 divisors (see below), whose sum is σ = 23874839268480. Its totient is φ = 3757351504896.

The previous prime is 10001001202097. The next prime is 10001001202139. The reversal of 10001001202120 is 2120210010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001001202097 and 10001001202106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14768794 + ... + 15431113.

It is an arithmetic number, because the mean of its divisors is an integer number (373044363570).

Almost surely, 2^{10001001202120} is an apocalyptic number.

10001001202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001202120 is an abundant number, since it is smaller than the sum of its proper divisors (13873838066360).

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

10001001202120 is a wasteful number, since it uses less digits than its factorization.

10001001202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30200422 (or 30200418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001001202120 its reverse (2120210010001), we get a palindrome (12121211212121).

The spelling of 10001001202120 in words is "ten trillion, one billion, one million, two hundred two thousand, one hundred twenty".