101055150141000 has 512 divisors, whose sum is σ = 352545742448640. Its totient is φ = 23893584000000.

The previous prime is 101055150140999. The next prime is 101055150141037. The reversal of 101055150141000 is 141051550101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223084735 + ... + 223537265.

It is an arithmetic number, because the mean of its divisors is an integer number (688565903220).

Almost surely, 2^{101055150141000} is an apocalyptic number.

101055150141000 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 101055150141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272871224320).

101055150141000 is an abundant number, since it is smaller than the sum of its proper divisors (251490592307640).

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

101055150141000 is a wasteful number, since it uses less digits than its factorization.

101055150141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452734 (or 452720 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

The spelling of 101055150141000 in words is "one hundred one trillion, fifty-five billion, one hundred fifty million, one hundred forty-one thousand".