102100001021 has 8 divisors (see below), whose sum is σ = 108211784184. Its totient is φ = 95999984640.

The previous prime is 102100000979. The next prime is 102100001027. The reversal of 102100001021 is 120100001201.

It can be written as a sum of positive squares in 4 ways, for example, as 45354091225 + 56745909796 = 212965^2 + 238214^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102100001021 - 2¹⁸ = 102099738877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100001027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2923820 + ... + 2958533.

It is an arithmetic number, because the mean of its divisors is an integer number (13526473023).

Almost surely, 2^102100001021 is an apocalyptic number.

It is an amenable number.

102100001021 is a deficient number, since it is larger than the sum of its proper divisors (6111783163).

102100001021 is a wasteful number, since it uses less digits than its factorization.

102100001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883391.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100001021 its reverse (120100001201), we get a palindrome (222200002222).

It can be divided in two parts, 10210000 and 1021, that multiplied together give a square (10424410000 = 102100²).

The spelling of 102100001021 in words is "one hundred two billion, one hundred million, one thousand, twenty-one".