10210100001012 has 144 divisors (see below), whose sum is σ = 27435452204160. Its totient is φ = 3195444784896.

The previous prime is 10210100000987. The next prime is 10210100001037. The reversal of 10210100001012 is 21010000101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210100000987) and next prime (10210100001037).

It is a super-2 number, since 2×10210100001012² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10210100000985 and 10210100001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71274363 + ... + 71417469.

It is an arithmetic number, because the mean of its divisors is an integer number (190523973640).

Almost surely, 2^{10210100001012} is an apocalyptic number.

10210100001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210100001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717726102080).

10210100001012 is an abundant number, since it is smaller than the sum of its proper divisors (17225352203148).

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

10210100001012 is a wasteful number, since it uses less digits than its factorization.

10210100001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145030 (or 145025 counting only the distinct ones).

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

Adding to 10210100001012 its reverse (21010000101201), we get a palindrome (31220100102213).

The spelling of 10210100001012 in words is "ten trillion, two hundred ten billion, one hundred million, one thousand, twelve".