10202211012 has 72 divisors (see below), whose sum is σ = 27720221760. Its totient is φ = 2911917120.

The previous prime is 10202210999. The next prime is 10202211043. The reversal of 10202211012 is 21011220201.

It is a super-3 number, since 3×10202211012³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597814 + ... + 614642.

It is an arithmetic number, because the mean of its divisors is an integer number (385003080).

Almost surely, 2^10202211012 is an apocalyptic number.

10202211012 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 10202211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860110880).

10202211012 is an abundant number, since it is smaller than the sum of its proper divisors (17518010748).

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

10202211012 is a wasteful number, since it uses less digits than its factorization.

10202211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17881 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202211012 its reverse (21011220201), we get a palindrome (31213431213).

The spelling of 10202211012 in words is "ten billion, two hundred two million, two hundred eleven thousand, twelve".