10201001220120 has 64 divisors (see below), whose sum is σ = 30604108525920. Its totient is φ = 2720168781824.

The previous prime is 10201001220119. The next prime is 10201001220149. The reversal of 10201001220120 is 2102210010201.

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 = 10201001220096 and 10201001220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833802 + ... + 4874918.

Almost surely, 2^{10201001220120} is an apocalyptic number.

10201001220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001220120 is an abundant number, since it is smaller than the sum of its proper divisors (20403107305800).

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

10201001220120 is a wasteful number, since it uses less digits than its factorization.

10201001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069084 (or 3069080 counting only the distinct ones).

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

Adding to 10201001220120 its reverse (2102210010201), we get a palindrome (12303211230321).

The spelling of 10201001220120 in words is "ten trillion, two hundred one billion, one million, two hundred twenty thousand, one hundred twenty".