101142121420 has 96 divisors (see below), whose sum is σ = 224565602688. Its totient is φ = 38189217792.

The previous prime is 101142121361. The next prime is 101142121427. The reversal of 101142121420 is 24121241101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101142121427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10897822 + ... + 10907098.

It is an arithmetic number, because the mean of its divisors is an integer number (2339225028).

Almost surely, 2^101142121420 is an apocalyptic number.

101142121420 is a gapful number since it is divisible by the number (10) 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 101142121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112282801344).

101142121420 is an abundant number, since it is smaller than the sum of its proper divisors (123423481268).

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

101142121420 is a wasteful number, since it uses less digits than its factorization.

101142121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101142121420 its reverse (24121241101), we get a palindrome (125263362521).

It can be divided in two parts, 1011 and 42121420, that added together give a triangular number (42122431 = T₉₁₇₈).

The spelling of 101142121420 in words is "one hundred one billion, one hundred forty-two million, one hundred twenty-one thousand, four hundred twenty".