102101121211002 has 16 divisors (see below), whose sum is σ = 206662510404000. Its totient is φ = 33623662406672.

The previous prime is 102101121210997. The next prime is 102101121211007. The reversal of 102101121211002 is 200112121101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101121210997) and next prime (102101121211007).

It is a super-2 number, since 2×102101121211002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101121211007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102511165377 + ... + 102511166372.

It is an arithmetic number, because the mean of its divisors is an integer number (12916406900250).

Almost surely, 2^{102101121211002} is an apocalyptic number.

102101121211002 is an abundant number, since it is smaller than the sum of its proper divisors (104561389192998).

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

102101121211002 is a wasteful number, since it uses less digits than its factorization.

102101121211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205022331837.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101121211002 its reverse (200112121101201), we get a palindrome (302213242312203).

It can be divided in two parts, 10 and 2101121211002, that added together give a palindrome (2101121211012).

The spelling of 102101121211002 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two".