20142101101410 has 96 divisors (see below), whose sum is σ = 53092531634688. Its totient is φ = 5297081806080.

The previous prime is 20142101101393. The next prime is 20142101101429. The reversal of 20142101101410 is 1410110124102.

20142101101410 is a `hidden beast` number, since 2 + 0 + 142 + 1 + 0 + 110 + 1 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 63116509 + ... + 63434831.

It is an arithmetic number, because the mean of its divisors is an integer number (553047204528).

Almost surely, 2^{20142101101410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142101101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26546265817344).

20142101101410 is an abundant number, since it is smaller than the sum of its proper divisors (32950430533278).

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

20142101101410 is a wasteful number, since it uses less digits than its factorization.

20142101101410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328040 (or 328037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20142101101410 its reverse (1410110124102), we get a palindrome (21552211225512).

The spelling of 20142101101410 in words is "twenty trillion, one hundred forty-two billion, one hundred one million, one hundred one thousand, four hundred ten".