100122121000220 has 48 divisors (see below), whose sum is σ = 229388109245568. Its totient is φ = 36405277008960.

The previous prime is 100122121000217. The next prime is 100122121000229. The reversal of 100122121000220 is 22000121221001.

It is a super-2 number, since 2×100122121000220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122121000195 and 100122121000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122121000229) 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, 14391254 + ... + 20182973.

It is an arithmetic number, because the mean of its divisors is an integer number (4778918942616).

Almost surely, 2^{100122121000220} is an apocalyptic number.

100122121000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122121000220 is an abundant number, since it is smaller than the sum of its proper divisors (129265988245348).

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

100122121000220 is a wasteful number, since it uses less digits than its factorization.

100122121000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34587410 (or 34587408 counting only the distinct ones).

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

Adding to 100122121000220 its reverse (22000121221001), we get a palindrome (122122242221221).

The spelling of 100122121000220 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty", and thus it is an aban number.