102100213001040 has 40 divisors (see below), whose sum is σ = 316510660303968. Its totient is φ = 27226723466880.

The previous prime is 102100213001029. The next prime is 102100213001107. The reversal of 102100213001040 is 40100312001201.

It is a tau number, because it is divible by the number of its divisors (40).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212708776846 + ... + 212708777325.

Almost surely, 2^{102100213001040} is an apocalyptic number.

102100213001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100213001040 is an abundant number, since it is smaller than the sum of its proper divisors (214410447302928).

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

102100213001040 is a wasteful number, since it uses less digits than its factorization.

102100213001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425417554187 (or 425417554181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102100213001040 its reverse (40100312001201), we get a palindrome (142200525002241).

The spelling of 102100213001040 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, one thousand, forty".