20212002032100 has 144 divisors (see below), whose sum is σ = 58946201868288. Its totient is φ = 5346912936960.

The previous prime is 20212002032093. The next prime is 20212002032137. The reversal of 20212002032100 is 123020021202.

It is a happy number.

It is a super-2 number, since 2×20212002032100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212002032100.

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, 553841454 + ... + 553877946.

Almost surely, 2^{20212002032100} is an apocalyptic number.

20212002032100 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 20212002032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29473100934144).

20212002032100 is an abundant number, since it is smaller than the sum of its proper divisors (38734199836188).

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

20212002032100 is a wasteful number, since it uses less digits than its factorization.

20212002032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51174 (or 51167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20212002032100 its reverse (123020021202), we get a palindrome (20335022053302).

The spelling of 20212002032100 in words is "twenty trillion, two hundred twelve billion, two million, thirty-two thousand, one hundred".