101201010102240 has 96 divisors (see below), whose sum is σ = 323150074835616. Its totient is φ = 26617251962880.

The previous prime is 101201010102239. The next prime is 101201010102271. The reversal of 101201010102240 is 42201010102101.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444043301 + ... + 1444113380.

It is an arithmetic number, because the mean of its divisors is an integer number (3366146612871).

Almost surely, 2^{101201010102240} is an apocalyptic number.

101201010102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201010102240 is an abundant number, since it is smaller than the sum of its proper divisors (221949064733376).

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

101201010102240 is a wasteful number, since it uses less digits than its factorization.

101201010102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888156772 (or 2888156764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201010102240 its reverse (42201010102101), we get a palindrome (143402020204341).

The spelling of 101201010102240 in words is "one hundred one trillion, two hundred one billion, ten million, one hundred two thousand, two hundred forty".