101380821 has 16 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 66234608.

The previous prime is 101380817. The next prime is 101380831. The reversal of 101380821 is 128083101.

It is a cyclic number.

It is not a de Polignac number, because 101380821 - 2² = 101380817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101380791 and 101380800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101380801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73480 + ... + 74846.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^101380821 is an apocalyptic number.

It is an amenable number.

101380821 is a deficient number, since it is larger than the sum of its proper divisors (36513579).

101380821 is a wasteful number, since it uses less digits than its factorization.

101380821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 101380821 is about 10068.8043480842. The cubic root of 101380821 is about 466.2855259271.

It can be divided in two parts, 101380 and 821, that added together give a palindrome (102201).

The spelling of 101380821 in words is "one hundred one million, three hundred eighty thousand, eight hundred twenty-one".