102101002010002 has 32 divisors (see below), whose sum is σ = 164058908293872. Its totient is φ = 47487422889984.

The previous prime is 102101002009999. The next prime is 102101002010011. The reversal of 102101002010002 is 200010200101201.

It can be written as a sum of positive squares in 8 ways, for example, as 66672924291801 + 35428077718201 = 8165349^2 + 5952149^2 .

It is a super-2 number, since 2×102101002010002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36285363 + ... + 38997814.

Almost surely, 2^{102101002010002} is an apocalyptic number.

102101002010002 is a deficient number, since it is larger than the sum of its proper divisors (61957906283870).

102101002010002 is a wasteful number, since it uses less digits than its factorization.

102101002010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75283662.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101002010002 its reverse (200010200101201), we get a palindrome (302111202111203).

The spelling of 102101002010002 in words is "one hundred two trillion, one hundred one billion, two million, ten thousand, two".