10101001210000 has 50 divisors (see below), whose sum is σ = 24455534053742. Its totient is φ = 4040400480000.

The previous prime is 10101001209991. The next prime is 10101001210049. The reversal of 10101001210000 is 1210010101.

It can be written as a sum of positive squares in 5 ways, for example, as 4880635334656 + 5220365875344 = 2209216^2 + 2284812^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 505040061 + ... + 505060060.

Almost surely, 2^{10101001210000} is an apocalyptic number.

10101001210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001210000 is an abundant number, since it is smaller than the sum of its proper divisors (14354532843742).

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

10101001210000 is an equidigital number, since it uses as much as digits as its factorization.

10101001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010100149 (or 1010100128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10101001210000 its reverse (1210010101), we get a palindrome (10102211220101).

It can be divided in two parts, 1010100 and 1210000, that added together give a square (2220100 = 1490²).

The spelling of 10101001210000 in words is "ten trillion, one hundred one billion, one million, two hundred ten thousand".