100212022201001 has 16 divisors (see below), whose sum is σ = 108706149731088. Its totient is φ = 92026369843200.

The previous prime is 100212022200893. The next prime is 100212022201091. The reversal of 100212022201001 is 100102220212001.

It can be written as a sum of positive squares in 8 ways, for example, as 3083802917776 + 97128219283225 = 1756076^2 + 9855365^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212022201001 - 2¹⁸ = 100212021938857 is a prime.

It is a super-2 number, since 2×100212022201001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212022201091) 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, 307083080 + ... + 307409241.

It is an arithmetic number, because the mean of its divisors is an integer number (6794134358193).

Almost surely, 2^{100212022201001} is an apocalyptic number.

It is an amenable number.

100212022201001 is a deficient number, since it is larger than the sum of its proper divisors (8494127530087).

100212022201001 is a wasteful number, since it uses less digits than its factorization.

100212022201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614492572.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212022201001 its reverse (100102220212001), we get a palindrome (200314242413002).

The spelling of 100212022201001 in words is "one hundred trillion, two hundred twelve billion, twenty-two million, two hundred one thousand, one".