1010400141100 has 288 divisors, whose sum is σ = 2599969591296. Its totient is φ = 333656064000.

The previous prime is 1010400141083. The next prime is 1010400141131. The reversal of 1010400141100 is 11410040101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170799269 + ... + 1170800131.

It is an arithmetic number, because the mean of its divisors is an integer number (9027672192).

Almost surely, 2^{1010400141100} is an apocalyptic number.

1010400141100 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 1010400141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299984795648).

1010400141100 is an abundant number, since it is smaller than the sum of its proper divisors (1589569450196).

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

1010400141100 is a wasteful number, since it uses less digits than its factorization.

1010400141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010400141100 its reverse (11410040101), we get a palindrome (1021810181201).

The spelling of 1010400141100 in words is "one trillion, ten billion, four hundred million, one hundred forty-one thousand, one hundred".