101145542400 has 1512 divisors, whose sum is σ = 454324949120. Its totient is φ = 21767823360.

The previous prime is 101145542389. The next prime is 101145542429. The reversal of 101145542400 is 4245541101.

101145542400 is a `hidden beast` number, since 1 + 0 + 114 + 5 + 542 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 620524719 + ... + 620524881.

Almost surely, 2^101145542400 is an apocalyptic number.

101145542400 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 101145542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227162474560).

101145542400 is an abundant number, since it is smaller than the sum of its proper divisors (353179406720).

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

101145542400 is an equidigital number, since it uses as much as digits as its factorization.

101145542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

It can be divided in two parts, 101145 and 542400, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 101145542400 in words is "one hundred one billion, one hundred forty-five million, five hundred forty-two thousand, four hundred".