2101315355040 has 96 divisors (see below), whose sum is σ = 7220883692736. Its totient is φ = 509409781760.

The previous prime is 2101315355003. The next prime is 2101315355077. The reversal of 2101315355040 is 405535131012.

It is an interprime number because it is at equal distance from previous prime (2101315355003) and next prime (2101315355077).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2101315354989 and 2101315355007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198982917 + ... + 198993476.

It is an arithmetic number, because the mean of its divisors is an integer number (75217538466).

Almost surely, 2^{2101315355040} is an apocalyptic number.

2101315355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101315355040 is an abundant number, since it is smaller than the sum of its proper divisors (5119568337696).

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

2101315355040 is a wasteful number, since it uses less digits than its factorization.

2101315355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397976422 (or 397976414 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 2101315355040 in words is "two trillion, one hundred one billion, three hundred fifteen million, three hundred fifty-five thousand, forty".