2131422020100 has 180 divisors, whose sum is σ = 6961973811408. Its totient is φ = 564040152000.

The previous prime is 2131422020081. The next prime is 2131422020129. The reversal of 2131422020100 is 10202241312.

It is a happy number.

2131422020100 is a `hidden beast` number, since 213 + 1 + 422 + 0 + 20 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56755 + ... + 2065445.

Almost surely, 2^{2131422020100} is an apocalyptic number.

2131422020100 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 2131422020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480986905704).

2131422020100 is an abundant number, since it is smaller than the sum of its proper divisors (4830551791308).

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

2131422020100 is a wasteful number, since it uses less digits than its factorization.

2131422020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008848 (or 2008832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2131422020100 its reverse (10202241312), we get a palindrome (2141624261412).

The spelling of 2131422020100 in words is "two trillion, one hundred thirty-one billion, four hundred twenty-two million, twenty thousand, one hundred".