101401742555652 has 144 divisors (see below), whose sum is σ = 297250446846080. Its totient is φ = 26335561950720.

The previous prime is 101401742555651. The next prime is 101401742555653. The reversal of 101401742555652 is 256555247104101.

It is an interprime number because it is at equal distance from previous prime (101401742555651) and next prime (101401742555653).

It is not an unprimeable number, because it can be changed into a prime (101401742555651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105522048 + ... + 106478664.

Almost surely, 2^{101401742555652} is an apocalyptic number.

101401742555652 is a gapful number since it is divisible by the number (12) 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 101401742555652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148625223423040).

101401742555652 is an abundant number, since it is smaller than the sum of its proper divisors (195848704290428).

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

101401742555652 is a wasteful number, since it uses less digits than its factorization.

101401742555652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967082 (or 967069 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

Adding to 101401742555652 its reverse (256555247104101), we get a palindrome (357956989659753).

The spelling of 101401742555652 in words is "one hundred one trillion, four hundred one billion, seven hundred forty-two million, five hundred fifty-five thousand, six hundred fifty-two".