10211434000 has 80 divisors (see below), whose sum is σ = 24773164416. Its totient is φ = 4071024000.

The previous prime is 10211433989. The next prime is 10211434033. The reversal of 10211434000 is 43411201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 605685 + ... + 622315.

Almost surely, 2^10211434000 is an apocalyptic number.

10211434000 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 10211434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386582208).

10211434000 is an abundant number, since it is smaller than the sum of its proper divisors (14561730416).

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

10211434000 is a wasteful number, since it uses less digits than its factorization.

10211434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16961 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10211434000 its reverse (43411201), we get a palindrome (10254845201).

The spelling of 10211434000 in words is "ten billion, two hundred eleven million, four hundred thirty-four thousand".