1010210212000 has 96 divisors (see below), whose sum is σ = 2707730835264. Its totient is φ = 367349152000.

The previous prime is 1010210211947. The next prime is 1010210212021. The reversal of 1010210212000 is 2120120101.

It is a super-3 number, since 3×1010210212000³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11435662 + ... + 11523661.

It is an arithmetic number, because the mean of its divisors is an integer number (28205529534).

Almost surely, 2^{1010210212000} is an apocalyptic number.

1010210212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010210212000 is an abundant number, since it is smaller than the sum of its proper divisors (1697520623264).

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

1010210212000 is a wasteful number, since it uses less digits than its factorization.

1010210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22959359 (or 22959341 counting only the distinct ones).

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

Adding to 1010210212000 its reverse (2120120101), we get a palindrome (1012330332101).

The spelling of 1010210212000 in words is "one trillion, ten billion, two hundred ten million, two hundred twelve thousand".