101881211549040 has 1280 divisors, whose sum is σ = 447091384320000. Its totient is φ = 21139462149120.

The previous prime is 101881211549023. The next prime is 101881211549057. The reversal of 101881211549040 is 40945112188101.

101881211549040 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 8 + 1 + 2 + 115 + 490 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (101881211549023) and next prime (101881211549057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5859611227 + ... + 5859628613.

It is an arithmetic number, because the mean of its divisors is an integer number (349290144000).

Almost surely, 2^{101881211549040} is an apocalyptic number.

101881211549040 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 101881211549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223545692160000).

101881211549040 is an abundant number, since it is smaller than the sum of its proper divisors (345210172770960).

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

101881211549040 is a wasteful number, since it uses less digits than its factorization.

101881211549040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18160 (or 18134 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 101881211549040 in words is "one hundred one trillion, eight hundred eighty-one billion, two hundred eleven million, five hundred forty-nine thousand, forty".