2142101191200 has 288 divisors, whose sum is σ = 7278230163456. Its totient is φ = 546200540160.

The previous prime is 2142101191169. The next prime is 2142101191201. The reversal of 2142101191200 is 21911012412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2142101191201) 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, 227805699 + ... + 227815101.

It is an arithmetic number, because the mean of its divisors is an integer number (25271632512).

Almost surely, 2^{2142101191200} is an apocalyptic number.

2142101191200 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 2142101191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639115081728).

2142101191200 is an abundant number, since it is smaller than the sum of its proper divisors (5136128972256).

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

2142101191200 is a wasteful number, since it uses less digits than its factorization.

2142101191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13576 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 2142101191200 in words is "two trillion, one hundred forty-two billion, one hundred one million, one hundred ninety-one thousand, two hundred".