212102101002 has 128 divisors (see below), whose sum is σ = 477414051840. Its totient is φ = 62273120000.

The previous prime is 212102100961. The next prime is 212102101019. The reversal of 212102101002 is 200101201212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232822927 + ... + 232823837.

It is an arithmetic number, because the mean of its divisors is an integer number (3729797280).

Almost surely, 2^212102101002 is an apocalyptic number.

212102101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238707025920).

212102101002 is an abundant number, since it is smaller than the sum of its proper divisors (265311950838).

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

212102101002 is a wasteful number, since it uses less digits than its factorization.

212102101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740.

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

Adding to 212102101002 its reverse (200101201212), we get a palindrome (412203302214).

It can be divided in two parts, 21210210 and 1002, that added together give a palindrome (21211212).

The spelling of 212102101002 in words is "two hundred twelve billion, one hundred two million, one hundred one thousand, two".