10001212101000 has 128 divisors (see below), whose sum is σ = 34670868710400. Its totient is φ = 2666989886400.

The previous prime is 10001212100987. The next prime is 10001212101017. The reversal of 10001212101000 is 10121210001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185180632 + ... + 185234631.

It is an arithmetic number, because the mean of its divisors is an integer number (270866161800).

Almost surely, 2^{10001212101000} is an apocalyptic number.

10001212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001212101000 is an abundant number, since it is smaller than the sum of its proper divisors (24669656609400).

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

10001212101000 is a wasteful number, since it uses less digits than its factorization.

10001212101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370415293 (or 370415273 counting only the distinct ones).

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

Adding to 10001212101000 its reverse (10121210001), we get a palindrome (10011333311001).

It can be divided in two parts, 1000121 and 2101000, that added together give a square (3101121 = 1761²).

The spelling of 10001212101000 in words is "ten trillion, one billion, two hundred twelve million, one hundred one thousand".