120201011010000 has 150 divisors (see below), whose sum is σ = 420360298184970. Its totient is φ = 32053602912000.

The previous prime is 120201011009983. The next prime is 120201011010049. The reversal of 120201011010000 is 10110102021.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 92345795947584 + 27855215062416 = 9609672^2 + 5277804^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×120201011010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 667693395 + ... + 667873394.

Almost surely, 2^{120201011010000} is an apocalyptic number.

120201011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201011010000 is an abundant number, since it is smaller than the sum of its proper divisors (300159287174970).

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

120201011010000 is a wasteful number, since it uses less digits than its factorization.

120201011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335566823 (or 1335566799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120201011010000 its reverse (10110102021), we get a palindrome (120211121112021).

The spelling of 120201011010000 in words is "one hundred twenty trillion, two hundred one billion, eleven million, ten thousand".