202100121001200 has 240 divisors, whose sum is σ = 648470466233856. Its totient is φ = 53803789670400.

The previous prime is 202100121001169. The next prime is 202100121001201. The reversal of 202100121001200 is 2100121001202.

It is a tau number, because it is divible by the number of its divisors (240).

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 (202100121001201) 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, 4680714012 + ... + 4680757188.

Almost surely, 2^{202100121001200} is an apocalyptic number.

202100121001200 is a gapful number since it is divisible by the number (20) 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 202100121001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324235233116928).

202100121001200 is an abundant number, since it is smaller than the sum of its proper divisors (446370345232656).

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

202100121001200 is a wasteful number, since it uses less digits than its factorization.

202100121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49592 (or 49581 counting only the distinct ones).

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

Adding to 202100121001200 its reverse (2100121001202), we get a palindrome (204200242002402).

It can be divided in two parts, 20210012 and 1001200, that added together give a palindrome (21211212).

The spelling of 202100121001200 in words is "two hundred two trillion, one hundred billion, one hundred twenty-one million, one thousand, two hundred".