101190010740 has 216 divisors, whose sum is σ = 356895413280. Its totient is φ = 21349875456.

The previous prime is 101190010679. The next prime is 101190010787. The reversal of 101190010740 is 47010091101.

It is a super-2 number, since 2×101190010740² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101190010740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 395031 + ... + 598689.

It is an arithmetic number, because the mean of its divisors is an integer number (1652293580).

Almost surely, 2^101190010740 is an apocalyptic number.

101190010740 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 101190010740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178447706640).

101190010740 is an abundant number, since it is smaller than the sum of its proper divisors (255705402540).

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

101190010740 is a wasteful number, since it uses less digits than its factorization.

101190010740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203711 (or 203689 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 101190010740 in words is "one hundred one billion, one hundred ninety million, ten thousand, seven hundred forty".