100020121212000 has 288 divisors, whose sum is σ = 360161715749472. Its totient is φ = 24247301760000.

The previous prime is 100020121211999. The next prime is 100020121212007. The reversal of 100020121212000 is 212121020001.

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 (100020121212007) 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, 32990191 + ... + 35894190.

It is an arithmetic number, because the mean of its divisors is an integer number (1250561513019).

Almost surely, 2^{100020121212000} is an apocalyptic number.

100020121212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121212000 is an abundant number, since it is smaller than the sum of its proper divisors (260141594537472).

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

100020121212000 is a wasteful number, since it uses less digits than its factorization.

100020121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68884431 (or 68884402 counting only the distinct ones).

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

Adding to 100020121212000 its reverse (212121020001), we get a palindrome (100232242232001).

The spelling of 100020121212000 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two hundred twelve thousand".