100101220101033 has 64 divisors (see below), whose sum is σ = 141166946672640. Its totient is φ = 63017497711872.

The previous prime is 100101220101031. The next prime is 100101220101097. The reversal of 100101220101033 is 330101022101001.

It is a happy number.

It is not a de Polignac number, because 100101220101033 - 2¹ = 100101220101031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101220101031) 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 63 ways as a sum of consecutive naturals, for example, 364912035 + ... + 365186247.

It is an arithmetic number, because the mean of its divisors is an integer number (2205733541760).

Almost surely, 2^{100101220101033} is an apocalyptic number.

It is an amenable number.

100101220101033 is a deficient number, since it is larger than the sum of its proper divisors (41065726571607).

100101220101033 is a wasteful number, since it uses less digits than its factorization.

100101220101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274886.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100101220101033 its reverse (330101022101001), we get a palindrome (430202242202034).

The spelling of 100101220101033 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, thirty-three".