100201102022101 has 8 divisors (see below), whose sum is σ = 100260165813984. Its totient is φ = 100142039287920.

The previous prime is 100201102022017. The next prime is 100201102022107. The reversal of 100201102022101 is 101220201102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201102022101 - 2²¹ = 100201099924949 is a prime.

It is a super-2 number, since 2×100201102022101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201102022107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270689595 + ... + 271059511.

It is an arithmetic number, because the mean of its divisors is an integer number (12532520726748).

Almost surely, 2^{100201102022101} is an apocalyptic number.

It is an amenable number.

100201102022101 is a deficient number, since it is larger than the sum of its proper divisors (59063791883).

100201102022101 is a wasteful number, since it uses less digits than its factorization.

100201102022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528851.

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

Adding to 100201102022101 its reverse (101220201102001), we get a palindrome (201421303124102).

The spelling of 100201102022101 in words is "one hundred trillion, two hundred one billion, one hundred two million, twenty-two thousand, one hundred one".