2021012400 has 120 divisors (see below), whose sum is σ = 7062565824. Its totient is φ = 489939200.

The previous prime is 2021012381. The next prime is 2021012429. The reversal of 2021012400 is 42101202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2021012400² = 8168982241907520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63354 + ... + 89753.

Almost surely, 2^2021012400 is an apocalyptic number.

2021012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021012400 is an abundant number, since it is smaller than the sum of its proper divisors (5041553424).

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

2021012400 is a wasteful number, since it uses less digits than its factorization.

2021012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153139 (or 153128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2021012400 is about 44955.6714998230. The cubic root of 2021012400 is about 1264.3180147058.

Adding to 2021012400 its reverse (42101202), we get a palindrome (2063113602).

The spelling of 2021012400 in words is "two billion, twenty-one million, twelve thousand, four hundred".