2142001022420 has 96 divisors (see below), whose sum is σ = 5247515212800. Its totient is φ = 734148576000.

The previous prime is 2142001022417. The next prime is 2142001022437. The reversal of 2142001022420 is 242201002412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2142001022392 and 2142001022401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20534837 + ... + 20638883.

It is an arithmetic number, because the mean of its divisors is an integer number (54661616800).

Almost surely, 2^{2142001022420} is an apocalyptic number.

2142001022420 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 2142001022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623757606400).

2142001022420 is an abundant number, since it is smaller than the sum of its proper divisors (3105514190380).

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

2142001022420 is a wasteful number, since it uses less digits than its factorization.

2142001022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107078 (or 107062 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2142001022420 its reverse (242201002412), we get a palindrome (2384202024832).

The spelling of 2142001022420 in words is "two trillion, one hundred forty-two billion, one million, twenty-two thousand, four hundred twenty".