100201021012010 has 16 divisors (see below), whose sum is σ = 180464725381896. Its totient is φ = 40057544502528.

The previous prime is 100201021011961. The next prime is 100201021012063. The reversal of 100201021012010 is 10210120102001.

100201021012010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37964242449169 + 62236778562841 = 6161513^2 + 7889029^2 .

It is a super-2 number, since 2×100201021012010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201021011982 and 100201021012000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2857969379 + ... + 2858004438.

Almost surely, 2^{100201021012010} is an apocalyptic number.

100201021012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201021012010 is a deficient number, since it is larger than the sum of its proper divisors (80263704369886).

100201021012010 is a wasteful number, since it uses less digits than its factorization.

100201021012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715975577.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201021012010 its reverse (10210120102001), we get a palindrome (110411141114011).

The spelling of 100201021012010 in words is "one hundred trillion, two hundred one billion, twenty-one million, twelve thousand, ten".