1010002120101 has 24 divisors (see below), whose sum is σ = 1572609476256. Its totient is φ = 620948311200.

The previous prime is 1010002120063. The next prime is 1010002120139. The reversal of 1010002120101 is 1010212000101.

It is a happy number.

1010002120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010002120063) and next prime (1010002120139).

It is not a de Polignac number, because 1010002120101 - 2¹⁵ = 1010002087333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3983835 + ... + 4229768.

It is an arithmetic number, because the mean of its divisors is an integer number (65525394844).

Almost surely, 2^{1010002120101} is an apocalyptic number.

It is an amenable number.

1010002120101 is a deficient number, since it is larger than the sum of its proper divisors (562607356155).

1010002120101 is a wasteful number, since it uses less digits than its factorization.

1010002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214673 (or 8214670 counting only the distinct ones).

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

Adding to 1010002120101 its reverse (1010212000101), we get a palindrome (2020214120202).

The spelling of 1010002120101 in words is "one trillion, ten billion, two million, one hundred twenty thousand, one hundred one".