100121220210000 has 800 divisors, whose sum is σ = 364363944215040. Its totient is φ = 23472288000000.

The previous prime is 100121220209963. The next prime is 100121220210007. The reversal of 100121220210000 is 12022121001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220210007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1433155071 + ... + 1433224929.

Almost surely, 2^{100121220210000} is an apocalyptic number.

100121220210000 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 100121220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182181972107520).

100121220210000 is an abundant number, since it is smaller than the sum of its proper divisors (264242724005040).

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

100121220210000 is a wasteful number, since it uses less digits than its factorization.

100121220210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70045 (or 70024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100121220210000 its reverse (12022121001), we get a palindrome (100133242331001).

It can be divided in two parts, 1001212 and 20210000, that added together give a palindrome (21211212).

The spelling of 100121220210000 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two hundred ten thousand".