121022100100 has 144 divisors (see below), whose sum is σ = 293214733056. Its totient is φ = 42979456000.

The previous prime is 121022100079. The next prime is 121022100109. The reversal of 121022100100 is 1001220121.

It is a super-2 number, since 2×121022100100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121022100109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26933454 + ... + 26937946.

It is an arithmetic number, because the mean of its divisors is an integer number (2036213424).

Almost surely, 2^121022100100 is an apocalyptic number.

121022100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146607366528).

121022100100 is an abundant number, since it is smaller than the sum of its proper divisors (172192632956).

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

121022100100 is a wasteful number, since it uses less digits than its factorization.

121022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121022100100 its reverse (1001220121), we get a palindrome (122023320221).

It can be divided in two parts, 121022 and 100100, that added together give a palindrome (221122).

The spelling of 121022100100 in words is "one hundred twenty-one billion, twenty-two million, one hundred thousand, one hundred".