10210011012 has 96 divisors (see below), whose sum is σ = 26982144000. Its totient is φ = 3338042400.

The previous prime is 10210010959. The next prime is 10210011013. The reversal of 10210011012 is 21011001201.

It is a happy number.

It is a super-2 number, since 2×10210011012² (a number of 21 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 = 10210010985 and 10210011003.

It is not an unprimeable number, because it can be changed into a prime (10210011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522587 + ... + 1529277.

It is an arithmetic number, because the mean of its divisors is an integer number (281064000).

Almost surely, 2^10210011012 is an apocalyptic number.

10210011012 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 10210011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491072000).

10210011012 is an abundant number, since it is smaller than the sum of its proper divisors (16772132988).

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

10210011012 is a wasteful number, since it uses less digits than its factorization.

10210011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6966 counting only the distinct ones).

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

Adding to 10210011012 its reverse (21011001201), we get a palindrome (31221012213).

The spelling of 10210011012 in words is "ten billion, two hundred ten million, eleven thousand, twelve".