101142121410 has 192 divisors, whose sum is σ = 300131080704. Its totient is φ = 23411865600.

The previous prime is 101142121361. The next prime is 101142121427. The reversal of 101142121410 is 14121241101.

101142121410 is a `hidden beast` number, since 10 + 11 + 421 + 214 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1881222 + ... + 1934238.

It is an arithmetic number, because the mean of its divisors is an integer number (1563182712).

Almost surely, 2^101142121410 is an apocalyptic number.

101142121410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101142121410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150065540352).

101142121410 is an abundant number, since it is smaller than the sum of its proper divisors (198988959294).

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

101142121410 is a wasteful number, since it uses less digits than its factorization.

101142121410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53129 (or 53126 counting only the distinct ones).

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

Adding to 101142121410 its reverse (14121241101), we get a palindrome (115263362511).

The spelling of 101142121410 in words is "one hundred one billion, one hundred forty-two million, one hundred twenty-one thousand, four hundred ten".