100202101221200 has 120 divisors (see below), whose sum is σ = 262643865270336. Its totient is φ = 36433899520000.

The previous prime is 100202101221119. The next prime is 100202101221281. The reversal of 100202101221200 is 2122101202001.

It is an interprime number because it is at equal distance from previous prime (100202101221119) and next prime (100202101221281).

It is a super-2 number, since 2×100202101221200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48941264 + ... + 50947536.

Almost surely, 2^{100202101221200} is an apocalyptic number.

100202101221200 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 100202101221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131321932635168).

100202101221200 is an abundant number, since it is smaller than the sum of its proper divisors (162441764049136).

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

100202101221200 is a wasteful number, since it uses less digits than its factorization.

100202101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017653 (or 2017642 counting only the distinct ones).

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

Adding to 100202101221200 its reverse (2122101202001), we get a palindrome (102324202423201).

The spelling of 100202101221200 in words is "one hundred trillion, two hundred two billion, one hundred one million, two hundred twenty-one thousand, two hundred".