202142100000 has 288 divisors, whose sum is σ = 681199025472. Its totient is φ = 52444800000.

The previous prime is 202142099987. The next prime is 202142100089. The reversal of 202142100000 is 1241202.

It is a super-2 number, since 2×202142100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11090895 + ... + 11109105.

It is an arithmetic number, because the mean of its divisors is an integer number (2365274394).

Almost surely, 2^202142100000 is an apocalyptic number.

202142100000 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 202142100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340599512736).

202142100000 is an abundant number, since it is smaller than the sum of its proper divisors (479056925472).

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

202142100000 is an equidigital number, since it uses as much as digits as its factorization.

202142100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286 (or 18258 counting only the distinct ones).

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

Adding to 202142100000 its reverse (1241202), we get a palindrome (202143341202).

The spelling of 202142100000 in words is "two hundred two billion, one hundred forty-two million, one hundred thousand".