1021211400 has 192 divisors, whose sum is σ = 3471206400. Its totient is φ = 246304000.

The previous prime is 1021211377. The next prime is 1021211419. The reversal of 1021211400 is 41121201.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 2369185 + ... + 2369615.

It is an arithmetic number, because the mean of its divisors is an integer number (18079200).

Almost surely, 2^1021211400 is an apocalyptic number.

1021211400 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 1021211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735603200).

1021211400 is an abundant number, since it is smaller than the sum of its proper divisors (2449995000).

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

1021211400 is a wasteful number, since it uses less digits than its factorization.

1021211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1021211400 is about 31956.3984203477. The cubic root of 1021211400 is about 1007.0210560701.

Adding to 1021211400 its reverse (41121201), we get a palindrome (1062332601).

It can be divided in two parts, 10212 and 11400, that added together give a palindrome (21612).

The spelling of 1021211400 in words is "one billion, twenty-one million, two hundred eleven thousand, four hundred".