100211022020101 has 16 divisors (see below), whose sum is σ = 103070461459968. Its totient is φ = 97382510784000.

The previous prime is 100211022020069. The next prime is 100211022020107. The reversal of 100211022020101 is 101020220112001.

It is a cyclic number.

It is not a de Polignac number, because 100211022020101 - 2⁵ = 100211022020069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211022020107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11376211 + ... + 18161503.

It is an arithmetic number, because the mean of its divisors is an integer number (6441903841248).

Almost surely, 2^{100211022020101} is an apocalyptic number.

It is an amenable number.

100211022020101 is a deficient number, since it is larger than the sum of its proper divisors (2859439439867).

100211022020101 is a wasteful number, since it uses less digits than its factorization.

100211022020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787572.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100211022020101 its reverse (101020220112001), we get a palindrome (201231242132102).

The spelling of 100211022020101 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twenty thousand, one hundred one".