101401000 has 64 divisors (see below), whose sum is σ = 245007360. Its totient is φ = 39240000.

The previous prime is 101400983. The next prime is 101401033. The reversal of 101401000 is 104101.

It is a happy 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, 29365 + ... + 32635.

It is an arithmetic number, because the mean of its divisors is an integer number (3828240).

Almost surely, 2^101401000 is an apocalyptic number.

101401000 is a gapful number since it is divisible by the number (10) 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 101401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122503680).

101401000 is an abundant number, since it is smaller than the sum of its proper divisors (143606360).

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

101401000 is a wasteful number, since it uses less digits than its factorization.

101401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101401000 is about 10069.8063536495. The cubic root of 101401000 is about 466.3164606126.

Adding to 101401000 its reverse (104101), we get a palindrome (101505101).

The spelling of 101401000 in words is "one hundred one million, four hundred one thousand".