100101122121220 has 48 divisors (see below), whose sum is σ = 229677010835328. Its totient is φ = 36344147701760.

The previous prime is 100101122121211. The next prime is 100101122121239. The reversal of 100101122121220 is 22121221101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101122121194 and 100101122121203.

It is an unprimeable number.

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, 351484477 + ... + 351769156.

It is an arithmetic number, because the mean of its divisors is an integer number (4784937725736).

Almost surely, 2^{100101122121220} is an apocalyptic number.

100101122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101122121220 is an abundant number, since it is smaller than the sum of its proper divisors (129575888714108).

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

100101122121220 is a wasteful number, since it uses less digits than its factorization.

100101122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703254300 (or 703254298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100101122121220 its reverse (22121221101001), we get a palindrome (122222343222221).

The spelling of 100101122121220 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".