100122101001120 has 192 divisors, whose sum is σ = 353354757146496. Its totient is φ = 23616023777280.

The previous prime is 100122101001107. The next prime is 100122101001121. The reversal of 100122101001120 is 21100101221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100122101001096 and 100122101001105.

It is not an unprimeable number, because it can be changed into a prime (100122101001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256054899 + ... + 256445618.

It is an arithmetic number, because the mean of its divisors is an integer number (1840389360138).

Almost surely, 2^{100122101001120} is an apocalyptic number.

100122101001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101001120 is an abundant number, since it is smaller than the sum of its proper divisors (253232656145376).

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

100122101001120 is a wasteful number, since it uses less digits than its factorization.

100122101001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512500583 (or 512500575 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122101001120 its reverse (21100101221001), we get a palindrome (121222202222121).

The spelling of 100122101001120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, one thousand, one hundred twenty".