101401641 has 24 divisors (see below), whose sum is σ = 166735296. Its totient is φ = 58782240.

The previous prime is 101401633. The next prime is 101401649. The reversal of 101401641 is 146104101.

101401641 is a `hidden beast` number, since 10 + 14 + 0 + 1 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (101401633) and next prime (101401649).

It is not a de Polignac number, because 101401641 - 2³ = 101401633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101401649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19990 + ... + 24543.

It is an arithmetic number, because the mean of its divisors is an integer number (6947304).

Almost surely, 2^101401641 is an apocalyptic number.

101401641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101401641 is a deficient number, since it is larger than the sum of its proper divisors (65333655).

101401641 is a wasteful number, since it uses less digits than its factorization.

101401641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44573 (or 44570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101401641 is about 10069.8381814208. The cubic root of 101401641 is about 466.3174432072.

Adding to 101401641 its reverse (146104101), we get a palindrome (247505742).

It can be divided in two parts, 10140 and 1641, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 101401641 in words is "one hundred one million, four hundred one thousand, six hundred forty-one".