100401102231122 has 64 divisors (see below), whose sum is σ = 205221149614080. Its totient is φ = 35628671750400.

The previous prime is 100401102231121. The next prime is 100401102231149. The reversal of 100401102231122 is 221132201104001.

It is a super-2 number, since 2×100401102231122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100401102231094 and 100401102231103.

It is not an unprimeable number, because it can be changed into a prime (100401102231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618472172 + ... + 618634487.

It is an arithmetic number, because the mean of its divisors is an integer number (3206580462720).

Almost surely, 2^{100401102231122} is an apocalyptic number.

100401102231122 is an abundant number, since it is smaller than the sum of its proper divisors (104820047382958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100401102231122 is a wasteful number, since it uses less digits than its factorization.

100401102231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237106727.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100401102231122 its reverse (221132201104001), we get a palindrome (321533303335123).

The spelling of 100401102231122 in words is "one hundred trillion, four hundred one billion, one hundred two million, two hundred thirty-one thousand, one hundred twenty-two".