100212002001010 has 48 divisors (see below), whose sum is σ = 190380726392472. Its totient is φ = 37973940998400.

The previous prime is 100212002000977. The next prime is 100212002001061. The reversal of 100212002001010 is 10100200212001.

It can be written as a sum of positive squares in 4 ways, for example, as 87473577158361 + 12738424842649 = 9352731^2 + 3569093^2 .

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125884630 + ... + 126678190.

Almost surely, 2^{100212002001010} is an apocalyptic number.

100212002001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212002001010 is a deficient number, since it is larger than the sum of its proper divisors (90168724391462).

100212002001010 is a wasteful number, since it uses less digits than its factorization.

100212002001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828587 (or 828568 counting only the distinct ones).

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

Adding to 100212002001010 its reverse (10100200212001), we get a palindrome (110312202213011).

The spelling of 100212002001010 in words is "one hundred trillion, two hundred twelve billion, two million, one thousand, ten".