2101002121200 has 240 divisors, whose sum is σ = 6802151214816. Its totient is φ = 554287104000.

The previous prime is 2101002121193. The next prime is 2101002121219. The reversal of 2101002121200 is 21212001012.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173673552 + ... + 173685648.

Almost surely, 2^{2101002121200} is an apocalyptic number.

2101002121200 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 2101002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401075607408).

2101002121200 is an abundant number, since it is smaller than the sum of its proper divisors (4701149093616).

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

2101002121200 is a wasteful number, since it uses less digits than its factorization.

2101002121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13641 counting only the distinct ones).

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

Adding to 2101002121200 its reverse (21212001012), we get a palindrome (2122214122212).

The spelling of 2101002121200 in words is "two trillion, one hundred one billion, two million, one hundred twenty-one thousand, two hundred".