1010310211200 has 96 divisors (see below), whose sum is σ = 3327709289760. Its totient is φ = 269416053760.

The previous prime is 1010310211199. The next prime is 1010310211231. The reversal of 1010310211200 is 21120130101.

1010310211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52610724 + ... + 52629923.

It is an arithmetic number, because the mean of its divisors is an integer number (34663638435).

Almost surely, 2^{1010310211200} is an apocalyptic number.

1010310211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010310211200 is an abundant number, since it is smaller than the sum of its proper divisors (2317399078560).

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

1010310211200 is a wasteful number, since it uses less digits than its factorization.

1010310211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105240674 (or 105240657 counting only the distinct ones).

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

Adding to 1010310211200 its reverse (21120130101), we get a palindrome (1031430341301).

The spelling of 1010310211200 in words is "one trillion, ten billion, three hundred ten million, two hundred eleven thousand, two hundred".