402202402002100 has 144 divisors (see below), whose sum is σ = 1032411757668480. Its totient is φ = 133071307891200.

The previous prime is 402202402002091. The next prime is 402202402002109. The reversal of 402202402002100 is 1200204202204.

It is an interprime number because it is at equal distance from previous prime (402202402002091) and next prime (402202402002109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402202402002109) 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, 32455107 + ... + 43101493.

It is an arithmetic number, because the mean of its divisors is an integer number (7169526094920).

Almost surely, 2^{402202402002100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402202402002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516205878834240).

402202402002100 is an abundant number, since it is smaller than the sum of its proper divisors (630209355666380).

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

402202402002100 is a wasteful number, since it uses less digits than its factorization.

402202402002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648298 (or 10648291 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 402202402002100 its reverse (1200204202204), we get a palindrome (403402606204304).

The spelling of 402202402002100 in words is "four hundred two trillion, two hundred two billion, four hundred two million, two thousand, one hundred".