101034785451040 has 288 divisors, whose sum is σ = 284221083928320. Its totient is φ = 33823173758976.

The previous prime is 101034785450957. The next prime is 101034785451053. The reversal of 101034785451040 is 40154587430101.

It is a super-2 number, since 2×101034785451040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 1000858809 + ... + 1000959751.

It is an arithmetic number, because the mean of its divisors is an integer number (986878763640).

Almost surely, 2^{101034785451040} is an apocalyptic number.

101034785451040 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 101034785451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142110541964160).

101034785451040 is an abundant number, since it is smaller than the sum of its proper divisors (183186298477280).

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

101034785451040 is a wasteful number, since it uses less digits than its factorization.

101034785451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103984 (or 103969 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 101034785451040 in words is "one hundred one trillion, thirty-four billion, seven hundred eighty-five million, four hundred fifty-one thousand, forty".