101553551442 has 128 divisors (see below), whose sum is σ = 263617536000. Its totient is φ = 28966778064.

The previous prime is 101553551441. The next prime is 101553551443. The reversal of 101553551442 is 244155355101.

101553551442 is a `hidden beast` number, since 1 + 0 + 1 + 553 + 55 + 14 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (101553551441) and next prime (101553551443).

It is a junction number, because it is equal to n+sod(n) for n = 101553551397 and 101553551406.

It is not an unprimeable number, because it can be changed into a prime (101553551441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11905383 + ... + 11913909.

It is an arithmetic number, because the mean of its divisors is an integer number (2059512000).

Almost surely, 2^101553551442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101553551442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131808768000).

101553551442 is an abundant number, since it is smaller than the sum of its proper divisors (162063984558).

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

101553551442 is an equidigital number, since it uses as much as digits as its factorization.

101553551442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 101553551442 in words is "one hundred one billion, five hundred fifty-three million, five hundred fifty-one thousand, four hundred forty-two".