102011050400 has 576 divisors, whose sum is σ = 303609067776. Its totient is φ = 32747520000.

The previous prime is 102011050381. The next prime is 102011050433. The reversal of 102011050400 is 4050110201.

It is a super-2 number, since 2×102011050400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010010350 + ... + 1010010450.

It is an arithmetic number, because the mean of its divisors is an integer number (527099076).

Almost surely, 2^102011050400 is an apocalyptic number.

102011050400 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 102011050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151804533888).

102011050400 is an abundant number, since it is smaller than the sum of its proper divisors (201598017376).

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

102011050400 is a wasteful number, since it uses less digits than its factorization.

102011050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 102011050400 its reverse (4050110201), we get a palindrome (106061160601).

It can be divided in two parts, 10201 and 1050400, that added together give a palindrome (1060601).

The spelling of 102011050400 in words is "one hundred two billion, eleven million, fifty thousand, four hundred".