1021012100001 has 16 divisors (see below), whose sum is σ = 1514624677120. Its totient is φ = 679768362000.

The previous prime is 1021012099967. The next prime is 1021012100011. The reversal of 1021012100001 is 1000012101201.

It is a happy number.

It is not a de Polignac number, because 1021012100001 - 2¹¹ = 1021012097953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021012100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25156330 + ... + 25196883.

It is an arithmetic number, because the mean of its divisors is an integer number (94664042320).

Almost surely, 2^{1021012100001} is an apocalyptic number.

It is an amenable number.

1021012100001 is a deficient number, since it is larger than the sum of its proper divisors (493612577119).

1021012100001 is an equidigital number, since it uses as much as digits as its factorization.

1021012100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50353973 (or 50353967 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021012100001 its reverse (1000012101201), we get a palindrome (2021024201202).

The spelling of 1021012100001 in words is "one trillion, twenty-one billion, twelve million, one hundred thousand, one".