101402142464 has 144 divisors (see below), whose sum is σ = 235086163200. Its totient is φ = 42756636672.

The previous prime is 101402142449. The next prime is 101402142493. The reversal of 101402142464 is 464241204101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31112867 + ... + 31116125.

It is an arithmetic number, because the mean of its divisors is an integer number (1632542800).

Almost surely, 2^101402142464 is an apocalyptic number.

101402142464 is a gapful number since it is divisible by the number (14) 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 101402142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117543081600).

101402142464 is an abundant number, since it is smaller than the sum of its proper divisors (133684020736).

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

101402142464 is an equidigital number, since it uses as much as digits as its factorization.

101402142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 101402142464 its reverse (464241204101), we get a palindrome (565643346565).

The spelling of 101402142464 in words is "one hundred one billion, four hundred two million, one hundred forty-two thousand, four hundred sixty-four".