100121202102200 has 192 divisors, whose sum is σ = 254751779842560. Its totient is φ = 36446244485120.

The previous prime is 100121202102121. The next prime is 100121202102209. The reversal of 100121202102200 is 2201202121001.

It is a super-2 number, since 2×100121202102200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121202102209) 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, 9489059 + ... + 17037741.

It is an arithmetic number, because the mean of its divisors is an integer number (1326832186680).

Almost surely, 2^{100121202102200} is an apocalyptic number.

100121202102200 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 100121202102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127375889921280).

100121202102200 is an abundant number, since it is smaller than the sum of its proper divisors (154630577740360).

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

100121202102200 is a wasteful number, since it uses less digits than its factorization.

100121202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548846 (or 7548837 counting only the distinct ones).

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

Adding to 100121202102200 its reverse (2201202121001), we get a palindrome (102322404223201).

The spelling of 100121202102200 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, one hundred two thousand, two hundred".