10211555512340 has 192 divisors, whose sum is σ = 28700755743744. Its totient is φ = 2959475761152.

The previous prime is 10211555512313. The next prime is 10211555512343. The reversal of 10211555512340 is 4321555511201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10211555512340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211555512343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315272 + ... + 5604831.

It is an arithmetic number, because the mean of its divisors is an integer number (149483102832).

Almost surely, 2^{10211555512340} is an apocalyptic number.

10211555512340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211555512340 is an abundant number, since it is smaller than the sum of its proper divisors (18489200231404).

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

10211555512340 is a wasteful number, since it uses less digits than its factorization.

10211555512340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920186 (or 8920184 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 10211555512340 in words is "ten trillion, two hundred eleven billion, five hundred fifty-five million, five hundred twelve thousand, three hundred forty".