400102101 has 36 divisors (see below), whose sum is σ = 676903500. Its totient is φ = 227058048.

The previous prime is 400102093. The next prime is 400102103. The reversal of 400102101 is 101201004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67076100 + 333026001 = 8190^2 + 18249^2 .

It is not a de Polignac number, because 400102101 - 2³ = 400102093 is a prime.

It is a super-2 number, since 2×400102101² = 320163382449228402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400102103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62665 + ... + 68753.

It is an arithmetic number, because the mean of its divisors is an integer number (18802875).

Almost surely, 2^400102101 is an apocalyptic number.

It is an amenable number.

400102101 is a deficient number, since it is larger than the sum of its proper divisors (276801399).

400102101 is a wasteful number, since it uses less digits than its factorization.

400102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 400102101 is about 20002.5523621362. The cubic root of 400102101 is about 736.8689849449.

Adding to 400102101 its reverse (101201004), we get a palindrome (501303105).

The spelling of 400102101 in words is "four hundred million, one hundred two thousand, one hundred one".