2101545134400 has 336 divisors, whose sum is σ = 7306556725440. Its totient is φ = 527888793600.

The previous prime is 2101545134393. The next prime is 2101545134411. The reversal of 2101545134400 is 44315451012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5523087 + ... + 5891313.

It is an arithmetic number, because the mean of its divisors is an integer number (21745704540).

Almost surely, 2^{2101545134400} is an apocalyptic number.

2101545134400 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 2101545134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653278362720).

2101545134400 is an abundant number, since it is smaller than the sum of its proper divisors (5205011591040).

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

2101545134400 is a wasteful number, since it uses less digits than its factorization.

2101545134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368322 (or 368307 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2101545134400 in words is "two trillion, one hundred one billion, five hundred forty-five million, one hundred thirty-four thousand, four hundred".