102101220100 has 36 divisors (see below), whose sum is σ = 241701436368. Its totient is φ = 37127716000.

The previous prime is 102101220077. The next prime is 102101220107. The reversal of 102101220100 is 1022101201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102101220107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46408546 + ... + 46410745.

It is an arithmetic number, because the mean of its divisors is an integer number (6713928788).

Almost surely, 2^102101220100 is an apocalyptic number.

102101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101220100 is an abundant number, since it is smaller than the sum of its proper divisors (139600216268).

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

102101220100 is a wasteful number, since it uses less digits than its factorization.

102101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92819316 (or 92819309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101220100 its reverse (1022101201), we get a palindrome (103123321301).

The spelling of 102101220100 in words is "one hundred two billion, one hundred one million, two hundred twenty thousand, one hundred".