101000962739040 has 768 divisors, whose sum is σ = 412286257152000. Its totient is φ = 20183406501888.

The previous prime is 101000962739029. The next prime is 101000962739071. The reversal of 101000962739040 is 40937269000101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101000962738983 and 101000962739001.

It is a congruent number.

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, 3869903911 + ... + 3869930009.

It is an arithmetic number, because the mean of its divisors is an integer number (536831064000).

Almost surely, 2^{101000962739040} is an apocalyptic number.

101000962739040 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 101000962739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206143128576000).

101000962739040 is an abundant number, since it is smaller than the sum of its proper divisors (311285294412960).

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

101000962739040 is a wasteful number, since it uses less digits than its factorization.

101000962739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30819 (or 30811 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 101000962739040 in words is "one hundred one trillion, nine hundred sixty-two million, seven hundred thirty-nine thousand, forty".