100010100211021 has 16 divisors (see below), whose sum is σ = 134279295389568. Its totient is φ = 71935336814400.

The previous prime is 100010100210947. The next prime is 100010100211051. The reversal of 100010100211021 is 120112001010001.

It is a cyclic number.

It is not a de Polignac number, because 100010100211021 - 2⁹ = 100010100210509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010100210989 and 100010100211007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100211051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49955094010 + ... + 49955096011.

It is an arithmetic number, because the mean of its divisors is an integer number (8392455961848).

Almost surely, 2^{100010100211021} is an apocalyptic number.

100010100211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010100211021 is a deficient number, since it is larger than the sum of its proper divisors (34269195178547).

100010100211021 is a wasteful number, since it uses less digits than its factorization.

100010100211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910190052.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100010100211021 its reverse (120112001010001), we get a palindrome (220122101221022).

The spelling of 100010100211021 in words is "one hundred trillion, ten billion, one hundred million, two hundred eleven thousand, twenty-one".