202142100 has 72 divisors (see below), whose sum is σ = 600704608. Its totient is φ = 52444800.

The previous prime is 202142081. The next prime is 202142117. The reversal of 202142100 is 1241202.

It is a super-2 number, since 2×202142100² = 81722857184820000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995 + ... + 20205.

Almost surely, 2^202142100 is an apocalyptic number.

202142100 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 202142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300352304).

202142100 is an abundant number, since it is smaller than the sum of its proper divisors (398562508).

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

202142100 is a wasteful number, since it uses less digits than its factorization.

202142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202142100 is about 14217.6685852498. The cubic root of 202142100 is about 586.8839838551.

Adding to 202142100 its reverse (1241202), we get a palindrome (203383302).

The spelling of 202142100 in words is "two hundred two million, one hundred forty-two thousand, one hundred".