2000101400 has 96 divisors (see below), whose sum is σ = 5236807680. Its totient is φ = 703824000.

The previous prime is 2000101399. The next prime is 2000101409. The reversal of 2000101400 is 41010002.

It is a super-2 number, since 2×2000101400² = 8000811220563920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000101409) 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, 53537 + ... + 82863.

It is an arithmetic number, because the mean of its divisors is an integer number (54550080).

Almost surely, 2^2000101400 is an apocalyptic number.

2000101400 is a gapful number since it is divisible by the number (20) 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 2000101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618403840).

2000101400 is an abundant number, since it is smaller than the sum of its proper divisors (3236706280).

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

2000101400 is a wasteful number, since it uses less digits than its factorization.

2000101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29385 (or 29376 counting only the distinct ones).

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

The square root of 2000101400 is about 44722.4932220913. The cubic root of 2000101400 is about 1259.9423422008.

Adding to 2000101400 its reverse (41010002), we get a palindrome (2041111402).

The spelling of 2000101400 in words is "two billion, one hundred one thousand, four hundred".